1 /*
  2     Copyright 2008-2024
  3         Matthias Ehmann,
  4         Michael Gerhaeuser,
  5         Carsten Miller,
  6         Bianca Valentin,
  7         Alfred Wassermann,
  8         Peter Wilfahrt
  9 
 10     This file is part of JSXGraph.
 11 
 12     JSXGraph is free software dual licensed under the GNU LGPL or MIT License.
 13 
 14     You can redistribute it and/or modify it under the terms of the
 15 
 16       * GNU Lesser General Public License as published by
 17         the Free Software Foundation, either version 3 of the License, or
 18         (at your option) any later version
 19       OR
 20       * MIT License: https://github.com/jsxgraph/jsxgraph/blob/master/LICENSE.MIT
 21 
 22     JSXGraph is distributed in the hope that it will be useful,
 23     but WITHOUT ANY WARRANTY; without even the implied warranty of
 24     MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 25     GNU Lesser General Public License for more details.
 26 
 27     You should have received a copy of the GNU Lesser General Public License and
 28     the MIT License along with JSXGraph. If not, see <https://www.gnu.org/licenses/>
 29     and <https://opensource.org/licenses/MIT/>.
 30  */
 31 
 32 /*global JXG:true, define: true*/
 33 /*jslint nomen: true, plusplus: true*/
 34 
 35 import JXG from "./jxg.js";
 36 import Const from "./base/constants.js";
 37 import Mat from "./math/math.js";
 38 import Color from "./utils/color.js";
 39 import Type from "./utils/type.js";
 40 
 41 /**
 42  * Options Namespace
 43  * @description These are the default options of the board and of all geometry elements.
 44  * @namespace
 45  * @name JXG.Options
 46  */
 47 JXG.Options = {
 48 
 49     jc: {
 50         enabled: true,
 51         compile: true
 52     },
 53 
 54     /*
 55      * Options that are used directly within the board class
 56      */
 57     board: {
 58         /**#@+
 59          * @visprop
 60          */
 61 
 62         //updateType: 'hierarchical', // 'all'
 63 
 64         /**
 65          * Time (in msec) between two animation steps. Used in
 66          * {@link JXG.CoordsElement#moveAlong}, {@link JXG.CoordsElement#moveTo} and
 67          * {@link JXG.CoordsElement#visit}.
 68          *
 69          * @name JXG.Board#animationDelay
 70          * @type Number
 71          * @default 35
 72          * @see JXG.CoordsElement#moveAlong
 73          * @see JXG.CoordsElement#moveTo
 74          * @see JXG.CoordsElement#visit
 75          */
 76         animationDelay: 35,
 77 
 78         /**
 79          * Show default axis.
 80          * If shown, the horizontal axis can be accessed via JXG.Board.defaultAxes.x, the
 81          * vertical axis can be accessed via JXG.Board.defaultAxes.y.
 82          * Both axes have a sub-element "defaultTicks".
 83          *
 84          * Value can be Boolean or an object containing axis attributes.
 85          *
 86          * @name JXG.Board#axis
 87          * @type Boolean
 88          * @default false
 89          */
 90         axis: false,
 91 
 92         /**
 93          * Bounding box of the visible area in user coordinates.
 94          * It is an array consisting of four values:
 95          * [x<sub>1</sub>, y<sub>1</sub>, x<sub>2</sub>, y<sub>2</sub>]
 96          *
 97          * The canvas will be spanned from the upper left corner (x<sub>1</sub>, y<sub>1</sub>)
 98          * to the lower right corner (x<sub>2</sub>, y<sub>2</sub>).
 99          *
100          * @name JXG.Board#boundingBox
101          * @type Array
102          * @see JXG.Board#maxBoundingBox
103          * @see JXG.Board#keepAspectRatio
104          *
105          * @default [-5, 5, 5, -5]
106          * @example
107          * var board = JXG.JSXGraph.initBoard('jxgbox', {
108          *         boundingbox: [-5, 5, 5, -5],
109          *         axis: true
110          *     });
111          */
112         boundingBox: [-5, 5, 5, -5],
113 
114         /**
115          * Enable browser scrolling on touch interfaces if the user double taps into an empty region
116          * of the board.
117          *
118          * <ul>
119          * <li> Implemented for pointer touch devices - not with mouse, pen or old iOS touch.
120          * <li> It only works if browserPan:true
121          * <li> One finger action by the settings "pan.enabled:true" and "pan.needTwoFingers:false" has priority
122          * </ul>
123          *
124          * @name JXG.Board#browserPan
125          * @see JXG.Board#pan
126          * @type Boolean
127          * @default false
128          *
129          * @example
130          * const board = JXG.JSXGraph.initBoard('jxgbox', {
131          *     boundingbox: [-5, 5, 5, -5], axis: true,
132          *     pan: {
133          *         enabled: true,
134          *         needTwoFingers: true,
135          *     },
136          *     browserPan: true,
137          *     zoom: {
138          *         enabled: false
139          *     }
140          * });
141          *
142          * var p1 = board.create('point', [1, -1]);
143          * var p2 = board.create('point', [2.5, -2]);
144          * var li1 = board.create('line', [p1, p2]);
145          *
146          * </pre><div id="JXGcd50c814-be81-4280-9458-d73e50cece8d" class="jxgbox" style="width: 300px; height: 300px;"></div>
147          * <script type="text/javascript">
148          *     (function() {
149          *         var board = JXG.JSXGraph.initBoard('JXGcd50c814-be81-4280-9458-d73e50cece8d',
150          *             {showcopyright: false, shownavigation: false,
151          *              axis: true,
152          *              pan: {
153          *                enabled: true,
154          *                needTwoFingers: true,
155          *             },
156          *             browserPan: true,
157          *             zoom: {
158          *               enabled: false
159          *             }
160          *          });
161          *
162          *     var p1 = board.create('point', [1, -1]);
163          *     var p2 = board.create('point', [2.5, -2]);
164          *     var li1 = board.create('line', [p1, p2]);
165          *
166          *     })();
167          *
168          * </script><pre>
169          *
170          *
171          */
172         browserPan: false,
173 
174         /**
175          *
176          * Maximum time delay (in msec) between two clicks to be considered
177          * as double click. This attribute is used together with {@link JXG.Board#dblClickSuppressClick}.
178          * The JavaScript standard is that
179          * a click event is preceded by two click events,
180          * see {@link https://developer.mozilla.org/en-US/docs/Web/API/Element/dblclick_event}.
181          * In case of {@link JXG.Board#dblClickSuppressClick} being true, the JavaScript standard is ignored and
182          * this time delay is used to suppress the two click events if they are followed by a double click event.
183          * <p>
184          * In case of {@link JXG.Board#dblClickSuppressClick} being false, this attribute is used
185          * to clear the list of clicked elements after the time specified by this attribute.
186          * <p>
187          * Recommendation: if {@link JXG.Board#dblClickSuppressClick} is true, use a value of approx. 300,
188          * otherwise stay with the default 600.
189          *
190          * @name JXG.Board#clickDelay
191          * @type Number
192          * @default 600
193          * @see JXG.Board#dblClickSuppressClick
194          */
195         clickDelay: 600,
196 
197         /**
198          * If false (default), JSXGraph follows the JavaScript standard and fires before a dblclick event two
199          * click events.
200          * <p>
201          * If true, the click events are suppressed if there is a dblclick event.
202          * The consequence is that in this case any click event is fired with a delay specified by
203          * {@link JXG.Board#clickDelay}.
204          *
205          * @name JXG.Board#dblClickSuppressClick
206          * @type Boolean
207          * @default false
208          * @see JXG.Board#clickDelay
209          *
210          */
211         dblClickSuppressClick: false,
212 
213         /**
214          * Attributes for the default axes in case of the attribute
215          * axis:true in {@link JXG.JSXGraph#initBoard}.
216          *
217          * @name JXG.Board#defaultAxes
218          * @type Object
219          * @default <tt>{x: {name:'x'}, y: {name: 'y'}}</tt>
220          *
221          * @example
222          * const board = JXG.JSXGraph.initBoard('id', {
223          *     boundingbox: [-5, 5, 5, -5], axis:true,
224          *     defaultAxes: {
225          *         x: {
226          *           name: 'Distance (mi)',
227          *           withLabel: true,
228          *           label: {
229          *             position: 'rt',
230          *             offset: [-5, 15],
231          *             anchorX: 'right'
232          *           }
233          *         },
234          *         y: {
235          *           withLabel: true,
236          *           name: 'Y',
237          *           label: {
238          *             position: 'rt',
239          *             offset: [-20, -5],
240          *             anchorY: 'top'
241          *           }
242          *         }
243          *     }
244          * });
245          *
246          * </pre><div id="JXGc3af5eb8-7401-4476-80b5-379ecbd068c6" class="jxgbox" style="width: 300px; height: 300px;"></div>
247          * <script type="text/javascript">
248          *     (function() {
249          *     var board = JXG.JSXGraph.initBoard('JXGc3af5eb8-7401-4476-80b5-379ecbd068c6', {
250          *         showcopyright: false, shownavigation: false,
251          *         boundingbox: [-5, 5, 5, -5], axis:true,
252          *         defaultAxes: {
253          *             x: {
254          *               name: 'Distance (mi)',
255          *               withLabel: true,
256          *               label: {
257          *                 position: 'rt',
258          *                 offset: [-5, 15],
259          *                 anchorX: 'right'
260          *               }
261          *             },
262          *             y: {
263          *               withLabel: true,
264          *               name: 'Y',
265          *               label: {
266          *                 position: 'rt',
267          *                 offset: [-20, -5],
268          *                 anchorY: 'top'
269          *               }
270          *             }
271          *         }
272          *     });
273          *
274          *     })();
275          *
276          * </script><pre>
277          *
278          * @example
279          *  // Display ticks labels as fractions
280          *  var board = JXG.JSXGraph.initBoard('jxgbox', {
281          *      boundingbox: [-1.2, 2.3, 1.2, -2.3],
282          *      axis: true,
283          *      defaultAxes: {
284          *          x: {
285          *              ticks: {
286          *                  label: {
287          *                      useMathJax: true,
288          *                      display: 'html',
289          *                      toFraction: true
290          *                  }
291          *              }
292          *          },
293          *          y: {
294          *              ticks: {
295          *                  label: {
296          *                      useMathJax: true,
297          *                      display: 'html',
298          *                      toFraction: true
299          *                  }
300          *              }
301          *          }
302          *      }
303          *  });
304          *
305          * </pre><div id="JXG484d2f00-c853-4acb-a8bd-46a9e232d13b" class="jxgbox" style="width: 300px; height: 300px;"></div>
306          * <script src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-chtml.js" id="MathJax-script"></script>
307          * <script type="text/javascript">
308          *     (function() {
309          *         var board = JXG.JSXGraph.initBoard('JXG484d2f00-c853-4acb-a8bd-46a9e232d13b',
310          *             {boundingbox: [-1.2, 2.3, 1.2, -2.3],
311          *              axis: true, showcopyright: false, shownavigation: true,
312          *                 defaultAxes: {
313          *                     x: {
314          *                         ticks: {
315          *                             label: {
316          *                                 useMathJax: true,
317          *                                 display: 'html',
318          *                                 toFraction: true
319          *                             }
320          *                         }
321          *                     },
322          *                     y: {
323          *                         ticks: {
324          *                             label: {
325          *                                 useMathJax: true,
326          *                                 display: 'html',
327          *                                 toFraction: true
328          *                             }
329          *                         }
330          *                     }
331          *                 }
332          *             });
333          *     })();
334          *
335          * </script><pre>
336          *
337          */
338         defaultAxes: {
339             x: {
340                 name: 'x',
341                 fixed: true,
342                 ticks: {
343                     label: {
344                         visible: 'inherit',
345                         anchorX: 'middle',
346                         anchorY: 'top',
347                         fontSize: 12,
348                         offset: [0, -3]
349                     },
350                     tickEndings: [0, 1],
351                     majorTickEndings: [1, 1],
352                     drawZero: false,
353                     needsRegularUpdate: false,
354                     visible: 'inherit'
355                 }
356             },
357             y: {
358                 name: 'y',
359                 fixed: true,
360                 ticks: {
361                     label: {
362                         visible: 'inherit',
363                         anchorX: 'right',
364                         anchorY: 'middle',
365                         fontSize: 12,
366                         offset: [-6, 0]
367                     },
368                     tickEndings: [1, 0],
369                     majorTickEndings: [1, 1],
370                     drawZero: false,
371                     needsRegularUpdate: false,
372                     visible: 'inherit'
373                 }
374             }
375         },
376 
377         /**
378          * Description string for the board.
379          * Primarily used in an invisible text element which is adressed by
380          * the attribute 'aria-describedby' from the JSXGraph container.
381          * JSXGraph creates a new div-element with id "{containerid}_ARIAdescription"
382          * containing this string.
383          *
384          * @name JXG.Board#description
385          * @see JXG.Board#title
386          * @type String
387          * @default ''
388          *
389          */
390         description: '',
391 
392         /**
393          * Supply the document object. Defaults to window.document
394          *
395          * @name JXG.Board#document
396          * @type Object
397          * @description DOM object
398          * @default false (meaning window.document)
399          */
400         document: false,
401 
402         /**
403          * Control the possibilities for dragging objects.
404          *
405          * Possible sub-attributes with default values are:
406          * <pre>
407          * drag: {
408          *   enabled: true   // Allow dragging
409          * }
410          * </pre>
411          *
412          * @name JXG.Board#drag
413          * @type Object
414          * @default <tt>{enabled: true}</tt>
415          */
416         drag: {
417             enabled: true
418         },
419 
420         /**
421          * Attribute(s) to control the fullscreen icon. The attribute "showFullscreen"
422          * controls if the icon is shown.
423          * The following attribute(s) can be set:
424          * <ul>
425          *  <li> symbol (String): Unicode symbol which is shown in the navigation bar.  Default: svg code for '\u26f6', other
426          * possibilities are the unicode symbols '\u26f6' and '\u25a1'. However, '\u26f6' is not supported by MacOS and iOS.
427          *  <li> scale (number between 0 and 1): Relative size of the larger side of the JSXGraph board in the fullscreen window. 1.0 gives full width or height.
428          * Default value is 0.85.
429          *  <li> id (String): Id of the HTML element which is brought to full screen or null if the JSXgraph div is taken.
430          * It may be an outer div element, e.g. if the old aspect ratio trick is used. Default: null, i.e. use the JSXGraph div.
431          * </ul>
432          *
433          * @example
434          * var board = JXG.JSXGraph.initBoard('35bec5a2-fd4d-11e8-ab14-901b0e1b8723',
435          *             {boundingbox: [-8, 8, 8,-8], axis: true,
436          *             showcopyright: false,
437          *             showFullscreen: true,
438          *             fullscreen: {
439          *                  symbol: '\u22c7',
440          *                  scale: 0.95
441          *              }
442          *             });
443          * var pol = board.create('polygon', [[0, 1], [3,4], [1,-4]], {fillColor: 'yellow'});
444          *
445          * </pre><div id="JXGa35bec5a2-fd4d-11e8-ab14-901b0e1b8723" class="jxgbox" style="width: 300px; height: 300px;"></div>
446          * <script type="text/javascript">
447          *     (function() {
448          *         var board = JXG.JSXGraph.initBoard('JXGa35bec5a2-fd4d-11e8-ab14-901b0e1b8723',
449          *             {boundingbox: [-8, 8, 8,-8], axis: true, showcopyright: false,
450          *              showFullscreen: true,
451          *              fullscreen: {
452          *                  symbol: '\u22c7',
453          *                  scale: 0.95
454          *                  }
455          *             });
456          *     var pol = board.create('polygon', [[0, 1], [3,4], [1,-4]], {fillColor: 'yellow'});
457          *     })();
458          *
459          * </script><pre>
460          *
461          * @name JXG.Board#fullscreen
462          * @default svg code
463          * @see JXG.Board#showFullscreen
464          * @see JXG.AbstractRenderer#drawNavigationBar
465          * @type Object
466          */
467         fullscreen: {
468             symbol: '<svg height="1em" width="1em" version="1.1" viewBox="10 10 18 18"><path fill="#666" d="m 10,16 2,0 0,-4 4,0 0,-2 L 10,10 l 0,6 0,0 z"></path><path fill="#666" d="m 20,10 0,2 4,0 0,4 2,0 L 26,10 l -6,0 0,0 z"></path><path fill="#666" d="m 24,24 -4,0 0,2 L 26,26 l 0,-6 -2,0 0,4 0,0 z"></path><path fill="#666" d="M 12,20 10,20 10,26 l 6,0 0,-2 -4,0 0,-4 0,0 z"></path></svg>',
469             // symbol: '\u26f6', // '\u26f6' (not supported by MacOS),
470             scale: 0.85,
471             id: null
472         },
473 
474         /**
475          * If set true and
476          * hasPoint() is true for both an element and it's label,
477          * the element (and not the label) is taken as drag element.
478          * <p>
479          * If set false and hasPoint() is true for both an element and it's label,
480          * the label is taken (if it is on a higher layer than the element)
481          * <p>
482          * Meanwhile, this feature might be irrelevant.
483          * @name JXG.Board#ignoreLabels
484          * @type Booelan
485          * @default true
486          */
487         ignoreLabels: true,
488 
489         /**
490          * Support for internationalization of number formatting. This affects
491          * <ul>
492          *  <li> axis labels
493          *  <li> infobox
494          *  <li> texts consisting of numbers only
495          *  <li> smartlabel elements
496          *  <li> slider labels
497          *  <li> tapemeasure elements
498          *  <li> integral element labels
499          * </ul>
500          * See <a href="https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Intl/NumberFormat">https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Intl/NumberFormat</a>
501          * for an overview on the possibilities and the options.
502          * <p>
503          * User generated texts consisting of texts AND numbers have to be internationalized by the user, see
504          * {@link Text#intl}.
505          * Language locale and options can be individually controlled for each element by its intl attribute.
506          * If no locale is set, the default language of the browser is used.
507          *
508          * @name JXG.Board#intl
509          * @type Object
510          * @default <tt>{enabled: false}</tt>
511          * @see Integral#label
512          * @see Slider#intl
513          * @see Text#intl
514          * @see Ticks#intl
515          * @see JXG.Board.infobox
516          *
517          * @example
518          * // Set the board-wide locale and use individual
519          * // options for a text.
520          * const board = JXG.JSXGraph.initBoard(BOARDID, {
521          *     axis: true,
522          *     intl: {
523          *         enabled: true,
524          *         locale: 'de-DE'
525          *     },
526          *     boundingbox:[-0.5, 0.5, 0.5, -0.5]
527          * });
528          *
529          * var t = board.create('text', [0.05, 0.2, -Math.PI*100], {
530          *         digits: 2,
531          *         intl: {
532          *                 enabled: true,
533          *                 options: {
534          *                     style: 'unit',
535          *                     unit: 'celsius'
536          *                 }
537          *             }
538          *     });
539          *
540          * </pre><div id="JXGcbb0305d-92e2-4628-a58a-d0d515c8fec9" class="jxgbox" style="width: 300px; height: 300px;"></div>
541          * <script type="text/javascript">
542          *     (function() {
543          *     var board = JXG.JSXGraph.initBoard('JXGcbb0305d-92e2-4628-a58a-d0d515c8fec9', {
544          *         axis: true, showcopyright: false, shownavigation: false,
545          *         intl: {
546          *             enabled: true,
547          *             locale: 'de-DE'
548          *         },
549          *     boundingbox:[-0.5, 0.5, 0.5, -0.5]
550          *     });
551          *     var t = board.create('text', [0.05, 0.2, -Math.PI*100], {
552          *         digits: 2,
553          *         intl: {
554          *                 enabled: true,
555          *                 options: {
556          *                     style: 'unit',
557          *                     unit: 'celsius'
558          *                 }
559          *             }
560          *     });
561          *
562          *     })();
563          *
564          * </script><pre>
565          *
566          * @example
567          * // Here, locale is disabled in general, but enabled for the horizontal
568          * // axis and the infobox.
569          * const board = JXG.JSXGraph.initBoard(BOARDID, {
570          *     boundingbox: [-0.5, 0.5, 0.5, -0.5],
571          *     intl: {
572          *         enabled: false,
573          *         locale: 'de-DE'
574          *     },
575          *     keepaspectratio: true,
576          *     axis: true,
577          *     defaultAxes: {
578          *         x: {
579          *             ticks: {
580          *                 intl: {
581          *                         enabled: true,
582          *                         options: {
583          *                             style: 'unit',
584          *                             unit: 'kilometer-per-hour',
585          *                             unitDisplay: 'narrow'
586          *                         }
587          *                 }
588          *             }
589          *         },
590          *         y: {
591          *             ticks: {
592          *             }
593          *         }
594          *     },
595          *     infobox: {
596          *         fontSize: 12,
597          *         intl: {
598          *             enabled: true,
599          *             options: {
600          *                 minimumFractionDigits: 4,
601          *                 maximumFractionDigits: 5
602          *             }
603          *         }
604          *     }
605          * });
606          *
607          * var p = board.create('point', [0.1, 0.1], {});
608          *
609          * </pre><div id="JXG07d5d95c-9324-4fc4-aad3-098e433f195f" class="jxgbox" style="width: 600px; height: 300px;"></div>
610          * <script type="text/javascript">
611          *     (function() {
612          *     var board = JXG.JSXGraph.initBoard('JXG07d5d95c-9324-4fc4-aad3-098e433f195f', {
613          *         boundingbox: [-0.5, 0.5, 0.5, -0.5], showcopyright: false, shownavigation: false,
614          *         intl: {
615          *             enabled: false,
616          *             locale: 'de-DE'
617          *         },
618          *         keepaspectratio: true,
619          *         axis: true,
620          *         defaultAxes: {
621          *             x: {
622          *                 ticks: {
623          *                     intl: {
624          *                             enabled: true,
625          *                             options: {
626          *                                 style: 'unit',
627          *                                 unit: 'kilometer-per-hour',
628          *                                 unitDisplay: 'narrow'
629          *                             }
630          *                     }
631          *                 }
632          *             },
633          *             y: {
634          *                 ticks: {
635          *                 }
636          *             }
637          *         },
638          *         infobox: {
639          *             fontSize: 12,
640          *             intl: {
641          *                 enabled: true,
642          *                 options: {
643          *                     minimumFractionDigits: 4,
644          *                     maximumFractionDigits: 5
645          *                 }
646          *             }
647          *         }
648          *     });
649          *
650          *     var p = board.create('point', [0.1, 0.1], {});
651          *
652          *     })();
653          *
654          * </script><pre>
655          *
656          */
657         intl: {
658             enabled: false
659         },
660 
661         /**
662          * If set to true, the ratio between horizontal and vertical unit sizes
663          * stays constant - independent of size changes of the hosting HTML div element.
664          * <p>
665          * If the aspect ration of the hosting div changes, JSXGraphs will change
666          * the user supplied bounding box accordingly.
667          * This is necessary if circles should look like circles and not
668          * like ellipses. It is recommended to set keepAspectRatio = true
669          * for geometric applets.
670          * <p>
671          * For function plotting keepAspectRatio = false
672          * might be the better choice.
673          *
674          * @name JXG.Board#keepAspectRatio
675          * @see JXG.Board#boundingBox
676          * @see JXG.Board#maxBoundingBox
677          * @see JXG.Board#setBoundingBox
678          * @type Boolean
679          * @default false
680          */
681         keepAspectRatio: false,
682 
683         /**
684          * Control using the keyboard to change the construction.
685          * <ul>
686          * <li> enabled: true / false
687          * <li> dx: horizontal shift amount per key press
688          * <li> dy: vertical shift amount per key press
689          * <li> panShift: zoom if shift key is pressed
690          * <li> panCtrl: zoom if ctrl key is pressed
691          * </ul>
692          *
693          * @example
694          * var board = JXG.JSXGraph.initBoard("jxgbox", {boundingbox: [-5,5,5,-5],
695          *     axis: true,
696          *     showCopyright:true,
697          *     showNavigation:true,
698          *     keyboard: {
699          *         enabled: true,
700          *         dy: 30,
701          *         panShift: true,
702          *         panCtrl: false
703          *     }
704          * });
705          *
706          * </pre><div id="JXGb1d3aab6-ced2-4fe9-8fa5-b0accc8c7266" class="jxgbox" style="width: 300px; height: 300px;"></div>
707          * <script type="text/javascript">
708          *     (function() {
709          *         var board = JXG.JSXGraph.initBoard('JXGb1d3aab6-ced2-4fe9-8fa5-b0accc8c7266',
710          *             {boundingbox: [-5,5,5,-5],
711          *         axis: true,
712          *         showCopyright:true,
713          *         showNavigation:true,
714          *         keyboard: {
715          *             enabled: true,
716          *             dy: 30,
717          *             panShift: true,
718          *             panCtrl: false
719          *         }
720          *     });
721          *
722          *     })();
723          *
724          * </script><pre>
725          *
726          *
727          * @see JXG.Board#keyDownListener
728          * @see JXG.Board#keyFocusInListener
729          * @see JXG.Board#keyFocusOutListener
730          *
731          * @name JXG.Board#keyboard
732          * @type Object
733          * @default <tt>{enabled: true, dx: 10, dy:10, panShift: true, panCtrl: false}</tt>
734          */
735         keyboard: {
736             enabled: true,
737             dx: 10,
738             dy: 10,
739             panShift: true,
740             panCtrl: false
741         },
742 
743         /**
744          * If enabled, user activities are logged in array "board.userLog".
745          *
746          * @name JXG.Board#logging
747          * @type Object
748          * @default <tt>{enabled: false}</tt>
749          *
750          * @example
751          * var board = JXG.JSXGraph.initBoard(BOARDID,
752          *          {
753          *              boundingbox: [-8, 8, 8,-8],
754          *              axis: true,
755          *              logging: {enabled: true},
756          *              showcopyright: false,
757          *              shownavigation: false
758          *          });
759          * var A = board.create('point', [-4, 0], { name: 'A' });
760          * var B = board.create('point', [1, 2], { name: 'B' });
761          * var showUserLog = function() {
762          *     var txt = '';
763          *
764          *     for (let i = 0; i < board.userLog.length; i++) {
765          *         txt += JSON.stringify(board.userLog[i]) + '\n';
766          *     }
767          *     alert(txt);
768          * };
769          * var but = board.create('button', [4, 4, 'Show user log', showUserLog]);
770          *
771          * </pre><div id="JXGe152375c-f478-41aa-a9e6-e104403fc75d" class="jxgbox" style="width: 300px; height: 300px;"></div>
772          * <script type="text/javascript">
773          *     (function() {
774          *         var board = JXG.JSXGraph.initBoard('JXGe152375c-f478-41aa-a9e6-e104403fc75d',
775          *             {boundingbox: [-8, 8, 8,-8], axis: true, logging: {enabled: true},
776          *              showcopyright: false, shownavigation: false});
777          *     var A = board.create('point', [-4, 0], { name: 'A' });
778          *     var B = board.create('point', [1, 2], { name: 'B' });
779          *     var showUserLog = function() {
780          *         var txt = '';
781          *
782          *         for (let i = 0; i < board.userLog.length; i++) {
783          *             txt += JSON.stringify(board.userLog[i]) + '\n';
784          *         }
785          *         alert(txt);
786          *     };
787          *     var but = board.create('button', [4, 4, 'Show user log', showUserLog]);
788          *
789          *     })();
790          *
791          * </script><pre>
792          *
793          *
794          * @see JXG.Board#userLog
795          */
796         logging: {
797             enabled: false
798         },
799 
800         /**
801          * Change redraw strategy in SVG rendering engine.
802          * <p>
803          * This optimization seems to be <b>obsolete</b> in newer browsers (from 2021 on, at least)
804          * and even slow down the constructions. Therefore, the default is set to 'none' since v1.2.4.
805          * <p>
806          * If set to 'svg', before every redrawing of the JSXGraph construction
807          * the SVG sub-tree of the DOM tree is taken out of the DOM.
808          *
809          * If set to 'all', before every redrawing of the JSXGraph construction the
810          * complete DOM tree is taken out of the DOM.
811          * If set to 'none' the redrawing is done in-place.
812          *
813          * Using 'svg' or 'all' speeds up the update process considerably. The risk
814          * is that if there is an exception, only a white div or window is left.
815          *
816          *
817          * @name JXG.Board#minimizeReflow
818          * @type String
819          * @default 'none'
820          */
821         minimizeReflow: 'none',
822 
823         /**
824          * Maximal bounding box of the visible area in user coordinates.
825          * It is an array consisting of four values:
826          * [x<sub>1</sub>, y<sub>1</sub>, x<sub>2</sub>, y<sub>2</sub>]
827          *
828          * The bounding box of the canvas must be inside of this maximal
829          * bounding box.
830          *
831          * @name JXG.Board#maxBoundingBox
832          * @type Array
833          * @see JXG.Board#boundingBox
834          * @default [-Infinity, Infinity, Infinity, -Infinity]
835          *
836          * @example
837          * var board = JXG.JSXGraph.initBoard('jxgbox', {
838          *         boundingBox: [-5, 5, 5, -5],
839          *         maxBoundingBox: [-8, 8, 8, -8],
840          *         pan: {enabled: true},
841          *         axis: true
842          *     });
843          *
844          * </pre><div id="JXG065e2750-217c-48ed-a52b-7d7df6de7055" class="jxgbox" style="width: 300px; height: 300px;"></div>
845          * <script type="text/javascript">
846          *     (function() {
847          *         var board = JXG.JSXGraph.initBoard('JXG065e2750-217c-48ed-a52b-7d7df6de7055', {
848          *             showcopyright: false, shownavigation: false,
849          *             boundingbox: [-5,5,5,-5],
850          *             maxboundingbox: [-8,8,8,-8],
851          *             pan: {enabled: true},
852          *             axis:true
853          *         });
854          *
855          *     })();
856          *
857          * </script><pre>
858          *
859          */
860         maxBoundingBox: [-Infinity, Infinity, Infinity, -Infinity],
861 
862         /**
863          * Maximum frame rate of the board, i.e. maximum number of updates per second
864          * triggered by move events.
865          *
866          * @name JXG.Board#maxFrameRate
867          * @type Number
868          * @default 40
869          */
870         maxFrameRate: 40,
871 
872         /**
873          * Maximum number of digits in automatic label generation.
874          * For example, if set to 1 automatic point labels end at "Z".
875          * If set to 2, point labels end at "ZZ".
876          *
877          * @name JXG.Board#maxNameLength
878          * @see JXG.Board#generateName
879          * @type Number
880          * @default 1
881          */
882         maxNameLength: 1,
883 
884         /**
885          * Element which listens to move events of the pointing device.
886          * This allows to drag elements of a JSXGraph construction outside of the board.
887          * Especially, on mobile devices this enhances the user experience.
888          * However, it is recommended to allow dragging outside of the JSXGraph board only
889          * in certain constructions where users may not "loose" points outside of the board.
890          * In such a case, points may become unreachable.
891          * <p>
892          * A situation where dragging outside of the board is uncritical is for example if
893          * only sliders are used to interact with the construction.
894          * <p>
895          * Possible values for this attributes are:
896          * <ul>
897          * <li> an element specified by document.getElementById('some id');
898          * <li> null: to use the JSXGraph container div element
899          * <li> document
900          * </ul>
901          * <p>
902          * Since the introduction of this attribute "moveTarget", the value "document" has become sort of
903          * default on touch devices like smartphones. However, it is no longer the case that the document listens to
904          * move events, but there is the new feature "setPointerCapture", which is also implicitly enabled on certain devices.
905          * In future versions, JSXGraph may adopt this new standard and distinguish only two cases:
906          * <ul>
907          * <li>null: no pointerCapture
908          * <li>document: use pointerCapture
909          * </ul>
910          * <p>
911          * This attribute is immutable.
912          * It can be changed as follows:
913          *
914          * @example
915          * board.setAttribute({moveTarget: null});
916          * board.removeEventHandlers();
917          * board.addEventHandlers();
918          *
919          * @name JXG.Board#moveTarget
920          * @type Object
921          * @description HTML node or document
922          * @default null
923          *
924          * @example
925          *     var board = JXG.JSXGraph.initBoard('jxgbox', {
926          *         boundingbox: [-5,5,5,-5],
927          *         axis: true,
928          *         moveTarget: document
929          *     });
930          *
931          * </pre><div id="JXG973457e5-c63f-4516-8570-743f2cc560e1" class="jxgbox" style="width: 300px; height: 300px;"></div>
932          * <script type="text/javascript">
933          *     (function() {
934          *         var board = JXG.JSXGraph.initBoard('JXG973457e5-c63f-4516-8570-743f2cc560e1',
935          *             {boundingbox: [-5,5,5,-5],
936          *             axis: true,
937          *             moveTarget: document
938          *         });
939          *
940          *     })();
941          *
942          * </script><pre>
943          *
944          *
945          */
946         moveTarget: null,
947 
948         /**
949          * A number that will be added to the absolute position of the board used in mouse coordinate
950          * calculations in {@link JXG.Board#getCoordsTopLeftCorner}.
951          *
952          * @name JXG.Board#offsetX
953          * @see JXG.Board#offsetY
954          * @type Number
955          * @default 0
956          */
957         offsetX: 0,
958 
959         /**
960          * A number that will be added to the absolute position of the board used in mouse coordinate
961          * calculations in {@link JXG.Board#getCoordsTopLeftCorner}.
962          *
963          * @name JXG.Board#offsetY
964          * @see JXG.Board#offsetX
965          * @type Number
966          * @default 0
967          */
968         offsetY: 0,
969 
970         /**
971          * Control the possibilities for panning interaction (i.e. moving the origin).
972          *
973          * Possible sub-attributes with default values are:
974          * <pre>
975          * pan: {
976          *   enabled: true   // Allow panning
977          *   needTwoFingers: false, // panning is done with two fingers on touch devices
978          *   needShift: true, // mouse panning needs pressing of the shift key
979          * }
980          * </pre>
981          *
982          * @name JXG.Board#pan
983          * @see JXG.Board#browserPan
984          *
985          * @type Object
986          */
987         pan: {
988             enabled: true,
989             needShift: true,
990             needTwoFingers: false
991         },
992 
993         /**
994          * Allow user interaction by registering pointer events (including mouse and
995          * touch events), fullscreen, keyboard, resize, and zoom events.
996          * The latter events are essentially mouse wheel events.
997          * Decide if JSXGraph listens to these events.
998          * <p>
999          * Using a Boolean value turns on all events (or not), supplying an object of
1000          * the form
1001          * <pre>
1002          *  {
1003          *     fullscreen: true / false,
1004          *     keyboard: true / false,
1005          *     pointer: true / false,
1006          *     resize: true / false,
1007          *     wheel: true / false
1008          *  }
1009          * </pre>
1010          * activates individual event handlers. If an event is NOT given,
1011          * it will be activated.
1012          * <p>This attribute is immutable. Please use
1013          * {@link JXG.Board#addEventHandlers()} and
1014          * {@link JXG.Board#removeEventHandlers()} directly.
1015          *
1016          * @name JXG.Board#registerEvents
1017          * @see JXG.Board#keyboard
1018          * @see JXG.Board#registerResizeEvent
1019          * @see JXG.Board#registerFullscreenEvent
1020          * @type Boolean
1021          * @default true
1022          */
1023         registerEvents: true,
1024 
1025         // /**
1026         //  * Listen to fullscreen event.
1027         //  *
1028         //  * <p>This attribute is immutable. Please use
1029         //  * {@link JXG.Board#addFullscreenEventHandlers()} and
1030         //  * {@link JXG.Board#removeEventHandlers()} directly.
1031         //  *
1032         //  * @name JXG.Board#registerFullscreenEvent
1033         //  * @see JXG.Board#registerEvents
1034         //  * @see JXG.Board#registerResizeEvent
1035         //  * @type Boolean
1036         //  * @default true
1037         //  */
1038         // registerFullscreenEvent: true,
1039 
1040         // /**
1041         //  * Listen to resize events, i.e. start "resizeObserver" or handle the resize event with
1042         //  * "resizeListener". This is independent from the mouse, touch, pointer events.
1043         //  *
1044         //  * <p>This attribute is immutable. Please use
1045         //  * {@link JXG.Board#addResizeEventHandlers()} and
1046         //  * {@link JXG.Board#removeEventHandlers()} directly.
1047         //  * <p>
1048         //  * This attribute just starts a resizeObserver. If the resizeObserver reacts
1049         //  * to size changed is controlled with {@link JXG.Board#resize}.
1050         //  *
1051         //  * @name JXG.Board#registerResizeEvent
1052         //  * @see JXG.Board#resize
1053         //  * @see JXG.Board#registerEvents
1054         //  * @see JXG.Board#registerFullscreenEvent
1055         //  * @type Boolean
1056         //  * @default true
1057         //  */
1058         // registerResizeEvent: true,
1059 
1060         /**
1061          * Default rendering engine. Possible values are 'svg', 'canvas', 'vml', 'no', or 'auto'.
1062          * If the rendering engine is not available JSXGraph tries to detect a different engine.
1063          *
1064          * <p>
1065          * In case of 'canvas' it is advisable to call 'board.update()' after all elements have been
1066          * constructed. This ensures that all elements are drawn with their intended visual appearance.
1067          *
1068          * <p>
1069          * This attribute is immutable.
1070          *
1071          * @name JXG.Board#renderer
1072          * @type String
1073          * @default 'auto'
1074          */
1075         renderer: 'auto',
1076 
1077         /**
1078          * Control if JSXGraph reacts to resizing of the JSXGraph container element
1079          * by the user / browser.
1080          * The attribute "throttle" determines the minimal time in msec between to
1081          * resize calls.
1082          * <p>
1083          * <b>Attention:</b> if the JSXGraph container has no CSS property like width or height  nd max-width or max-height set, but
1084          * has a property like boxsizing:box-content, then the interplay between CSS and the resize attribute may result in an
1085          * infinite loop with ever increasing JSXgraph container.
1086          *
1087          * @see JXG.Board#startResizeObserver
1088          * @see JXG.Board#resizeListener
1089          *
1090          * @name JXG.Board#resize
1091          * @type Object
1092          * @default <tt>{enabled: true, throttle: 10}</tt>
1093          *
1094          * @example
1095          *     var board = JXG.JSXGraph.initBoard('jxgbox', {
1096          *         boundingbox: [-5,5,5,-5],
1097          *         keepAspectRatio: true,
1098          *         axis: true,
1099          *         resize: {enabled: true, throttle: 200}
1100          *     });
1101          *
1102          * </pre><div id="JXGb55d4608-5d71-4bc3-b332-18c15fbda8c3" class="jxgbox" style="width: 300px; height: 300px;"></div>
1103          * <script type="text/javascript">
1104          *     (function() {
1105          *         var board = JXG.JSXGraph.initBoard('JXGb55d4608-5d71-4bc3-b332-18c15fbda8c3', {
1106          *             boundingbox: [-5,5,5,-5],
1107          *             keepAspectRatio: true,
1108          *             axis: true,
1109          *             resize: {enabled: true, throttle: 200}
1110          *         });
1111          *
1112          *     })();
1113          *
1114          * </script><pre>
1115          *
1116          *
1117          */
1118         resize: {
1119             enabled: true,
1120             throttle: 10
1121         },
1122 
1123         /**
1124          * Attributes to control the screenshot function.
1125          * The following attributes can be set:
1126          * <ul>
1127          *  <li>scale: scaling factor (default=1.0)
1128          *  <li>type: format of the screenshot image. Default: png
1129          *  <li>symbol: Unicode symbol which is shown in the navigation bar. Default: '\u2318'
1130          *  <li>css: CSS rules to format the div element containing the screen shot image
1131          *  <li>cssButton: CSS rules to format the close button of the div element containing the screen shot image
1132          * </ul>
1133          * The screenshot will fail if the board contains text elements or foreign objects
1134          * containing SVG again.
1135          *
1136          * @name JXG.Board#screenshot
1137          * @type Object
1138          */
1139         screenshot: {
1140             scale: 1,
1141             type: 'png',
1142             symbol: '\u2318', //'\u22b9', //'\u26f6',
1143             css: 'background-color:#eeeeee; opacity:1.0; border:2px solid black; border-radius:10px; text-align:center',
1144             cssButton: 'padding: 4px 10px; border: solid #356AA0 1px; border-radius: 5px; position: absolute; right: 2ex; top: 2ex; background-color: rgba(255, 255, 255, 0.3);'
1145         },
1146 
1147         /**
1148          * Control the possibilities for a selection rectangle.
1149          * Starting a selection event triggers the "startselecting" event.
1150          * When the mouse pointer is released, the "stopselecting" event is fired.
1151          * The "stopselecting" event is supplied by the user.
1152          * <p>
1153          * So far it works in SVG renderer only.
1154          * <p>
1155          * Possible sub-attributes with default values are:
1156          * <pre>
1157          * selection: {
1158          *   enabled: false,
1159          *   name: 'selectionPolygon',
1160          *   needShift: false,  // mouse selection needs pressing of the shift key
1161          *   needCtrl: true,    // mouse selection needs pressing of the shift key
1162          *   fillColor: '#ffff00'
1163          * }
1164          * </pre>
1165          * <p>
1166          * Board events triggered by selection manipulation:
1167          * 'startselecting', 'stopselecting', 'mousestartselecting', 'mousestopselecting',
1168          * 'pointerstartselecting', 'pointerstopselecting', 'touchstartselecting', 'touchstopselecting'.
1169          *
1170          * @example
1171          * board.on('stopselecting', function(){
1172          *     var box = board.stopSelectionMode(),
1173          *     // bbox has the coordinates of the selectionr rectangle.
1174          *     // Attention: box[i].usrCoords have the form [1, x, y], i.e.
1175          *     // are homogeneous coordinates.
1176          *     bbox = box[0].usrCoords.slice(1).concat(box[1].usrCoords.slice(1));
1177          *     // Set a new bounding box
1178          *     board.setBoundingBox(bbox, false);
1179          * });
1180          *
1181          * @name JXG.Board#selection
1182          *
1183          * @see JXG.Board#startSelectionMode
1184          * @see JXG.Board#stopSelectionMode
1185          *
1186          * @type Object
1187          * @default
1188          */
1189         selection: {
1190             enabled: false,
1191             name: 'selectionPolygon',
1192             needShift: false,
1193             needCtrl: true,
1194             fillColor: '#ffff00',
1195 
1196             // immutable:
1197             visible: false,
1198             withLines: false,
1199             vertices: {
1200                 visible: false
1201             }
1202         },
1203 
1204         /**
1205          * Show a button which allows to clear all traces of a board.
1206          * This button can be accessed by JavaScript or CSS with
1207          * the ID <tt>"{board_id}_navigation_button_cleartraces"</tt> or by the CSS classes
1208          * <tt>JXG_navigation_button"</tt> or
1209          * <tt>JXG_navigation_button_cleartraces"</tt>.
1210          *
1211          * @name JXG.Board#showClearTraces
1212          * @type Boolean
1213          * @default false
1214          * @see JXG.AbstractRenderer#drawNavigationBar
1215          */
1216         showClearTraces: false,
1217 
1218         /**
1219          * Show copyright string in canvas.
1220          *
1221          * @name JXG.Board#showCopyright
1222          * @type Boolean
1223          * @default true
1224          */
1225         showCopyright: true,
1226 
1227         /**
1228          * Show a button in the navigation bar to start fullscreen mode.
1229          * This button can be accessed by JavaScript or CSS with
1230          * the ID <tt>"{board_id}_navigation_button_fullscreen"</tt> or by the CSS classes
1231          * <tt>JXG_navigation_button"</tt> or
1232          * <tt>JXG_navigation_button_fullscreen"</tt>.
1233          *
1234          * @name JXG.Board#showFullscreen
1235          * @type Boolean
1236          * @see JXG.Board#fullscreen
1237          * @default false
1238          * @see JXG.AbstractRenderer#drawNavigationBar
1239          * @see JXG.AbstractRenderer#drawNavigationBar
1240          */
1241         showFullscreen: false,
1242 
1243         /**
1244          * If true, the infobox is shown on mouse/pen over for all points
1245          * which have set their attribute showInfobox to 'inherit'.
1246          * If a point has set its attribute showInfobox to false or true,
1247          * that value will have priority over this value.
1248          *
1249          * @name JXG.Board#showInfobox
1250          * @see Point#showInfobox
1251          * @type Boolean
1252          * @default true
1253          */
1254         showInfobox: true,
1255 
1256         /**
1257          * Display of navigation arrows and zoom buttons in the navigation bar.
1258          * <p>
1259          * The navigation bar has the
1260          * the ID <tt>"{board_id}_navigation"</tt> and the CSS class
1261          * <tt>JXG_navigation"</tt>.
1262          * The individual buttons can be accessed by JavaScript or CSS with
1263          * the ID <tt>"{board_id}_navigation_button_{type}"</tt> or by the CSS classes
1264          * <tt>JXG_navigation_button"</tt> or
1265          * <tt>JXG_navigation_button_{type}"</tt>, where <tt>{type}</tt>
1266          * is one of <tt>left</tt>, <tt>right</tt>, or <tt>up</tt>, <tt>down</tt>,
1267          * <tt>in</tt>, <tt>100</tt>, or <tt>out</tt>,
1268          * <tt>fullscreen</tt>, <tt>screenshot</tt>, <tt>cleartraces</tt>, <tt>reload</tt>.
1269          *
1270          * @name JXG.Board#showNavigation
1271          * @type Boolean
1272          * @default true
1273          * @see JXG.AbstractRenderer#drawNavigationBar
1274          */
1275         showNavigation: true,
1276 
1277         /**
1278          * Show a button in the navigation bar to force reload of a construction.
1279          * Works only with the JessieCode tag.
1280          * This button can be accessed by JavaScript or CSS with
1281          * the ID <tt>"{board_id}_navigation_button_reload"</tt> or by the CSS classes
1282          * <tt>JXG_navigation_button"</tt> or
1283          * <tt>JXG_navigation_button_reload"</tt>.
1284          *
1285          * @name JXG.Board#showReload
1286          * @type Boolean
1287          * @default false
1288          * @see JXG.AbstractRenderer#drawNavigationBar
1289          */
1290         showReload: false,
1291 
1292         /**
1293          * Show a button in the navigation bar to enable screenshots.
1294          * This button can be accessed by JavaScript or CSS with
1295          * the ID <tt>"{board_id}_navigation_button_screenshot"</tt> or by the CSS classes
1296          * <tt>JXG_navigation_button"</tt> or
1297          * <tt>JXG_navigation_button_screenshot"</tt>.
1298          *
1299          * @name JXG.Board#showScreenshot
1300          * @type Boolean
1301          * @default false
1302          * @see JXG.AbstractRenderer#drawNavigationBar
1303          */
1304         showScreenshot: false,
1305 
1306         /**
1307          * Display of zoom buttons in the navigation bar. To show zoom buttons, additionally
1308          * showNavigation has to be set to true.
1309          * <p>
1310          * The individual buttons can be accessed by JavaScript or CSS with
1311          * the ID <tt>"{board_id}_navigation_button_{type}"</tt> or by the CSS classes
1312          * <tt>JXG_navigation_button"</tt> or
1313          * <tt>JXG_navigation_button_{type}"</tt>, where <tt>{type}</tt>
1314          * is <tt>in</tt>, <tt>100</tt>, or <tt>out</tt>.
1315          *
1316          * @name JXG.Board#showZoom
1317          * @type Boolean
1318          * @default true
1319          * @see JXG.AbstractRenderer#drawNavigationBar
1320          */
1321         showZoom: true,
1322 
1323         /**
1324          * If true the first element of the set JXG.board.objects having hasPoint==true is taken as drag element.
1325          *
1326          * @name JXG.Board#takeFirst
1327          * @type Boolean
1328          * @default false
1329          */
1330         takeFirst: false,
1331 
1332         /**
1333         * If true, when read from a file or string - the size of the div can be changed by the construction text.
1334         *
1335         * @name JXG.Board#takeSizeFromFile
1336         * @type Boolean
1337         * @default false
1338         */
1339         takeSizeFromFile: false,
1340 
1341         /**
1342          * Set a visual theme for a board. At the moment this attribute is immutable.
1343          * Available themes are
1344          * <ul>
1345          * <li> 'default'
1346          * <li> 'mono_thin': a black / white theme using thin strokes. Restricted to 2D.
1347          * </ul>
1348          *
1349          * @name JXG.Board#theme
1350          * @type String
1351          * @default 'default'
1352          * @example
1353          *  const board = JXG.JSXGraph.initBoard('jxgbox', {
1354          *      boundingbox: [-5, 5, 5, -5], axis: true,
1355          *      theme: 'mono_thin'
1356          *  });
1357          *
1358          *  var a = board.create('slider', [[1, 4], [3, 4], [-10, 1, 10]]);
1359          *  var p1 = board.create('point', [1, 2]);
1360          *  var ci1 = board.create('circle', [p1, 0.7]);
1361          *  var cu = board.create('functiongraph', ['x^2']);
1362          *  var l1 = board.create('line', [2, 3, -1]);
1363          *  var l2 = board.create('line', [-5, -3, -1], { dash: 2 });
1364          *  var i1 = board.create('intersection', [l1, l2]);
1365          *  var pol = board.create('polygon', [[1, 0], [4, 0], [3.5, 1]]);
1366          *  var an = board.create('angle', [pol.vertices[1], pol.vertices[0], pol.vertices[2]]);
1367          *  var se = board.create('sector', [pol.vertices[1], pol.vertices[2], pol.vertices[0]]);
1368          *  var ci1 = board.create('circle', [[-3, -3], 0.7], { center: { visible: true } });
1369          *
1370          * </pre><div id="JXG1c5f7a2a-176b-4410-ac06-8593f1a09879" class="jxgbox" style="width: 300px; height: 300px;"></div>
1371          * <script type="text/javascript">
1372          *     (function() {
1373          *         var board = JXG.JSXGraph.initBoard('JXG1c5f7a2a-176b-4410-ac06-8593f1a09879',
1374          *             {boundingbox: [-5, 5, 5, -5], axis: true, showcopyright: false, shownavigation: false,
1375          *              theme: 'mono_thin' });
1376          *
1377          *    var a = board.create('slider', [[1, 4], [3, 4], [-10, 1, 10]]);
1378          *    var p1 = board.create('point', [1, 2]);
1379          *    var ci1 = board.create('circle', [p1, 0.7]);
1380          *    var cu = board.create('functiongraph', ['x^2']);
1381          *    var l1 = board.create('line', [2, 3, -1]);
1382          *    var l2 = board.create('line', [-5, -3, -1], { dash: 2 });
1383          *    var i1 = board.create('intersection', [l1, l2]);
1384          *    var pol = board.create('polygon', [[1, 0], [4, 0], [3.5, 1]]);
1385          *    var an = board.create('angle', [pol.vertices[1], pol.vertices[0], pol.vertices[2]]);
1386          *    var se = board.create('sector', [pol.vertices[1], pol.vertices[2], pol.vertices[0]]);
1387          *    var ci1 = board.create('circle', [[-3, -3], 0.7], { center: { visible: true } });
1388          *
1389          *     })();
1390          *
1391          * </script><pre>
1392          *
1393          */
1394         theme: 'default',
1395 
1396         /**
1397          * Title string for the board.
1398          * Primarily used in an invisible text element which is adressed by
1399          * the attribute 'aria-labelledby' from the JSXGraph container.
1400          * JSXGraph creates a new div-element with id "{containerid}_ARIAlabel"
1401          * containing this string.
1402          *
1403          * @name JXG.Board#title
1404          * @see JXG.Board#description
1405          * @type String
1406          * @default ''
1407          *
1408          */
1409         title: '',
1410 
1411         /**
1412          *
1413          * Set a viewport of the board. viewport is determined by an array of the form '[left, top, right, bottom]'.
1414          * whose entries determine an inner margin (i.e. a padding) of the board. The entries of the array have to be given
1415          * as numbers or strings. In the latter case the units 'px' or '%' are supported.
1416          * The viewport can be individually controlled for each element, too.
1417          *
1418          * @type {Array|String}
1419          * @name JXG.Board#viewport
1420          * @default [0, 0, 0, 0]
1421          * @see JXG.GeometryElement#viewport
1422          */
1423         viewport: [0, 0, 0, 0],
1424 
1425         /**
1426          * Control the possibilities for zoom interaction.
1427          *
1428          * Possible sub-attributes with default values are:
1429          * <pre>
1430          * zoom: {
1431          *   enabled: true,  // turns off zooming completely, if set to false.
1432          *   factorX: 1.25,  // horizontal zoom factor (multiplied to {@link JXG.Board#zoomX})
1433          *   factorY: 1.25,  // vertical zoom factor (multiplied to {@link JXG.Board#zoomY})
1434          *   wheel: true,    // allow zooming by mouse wheel
1435          *   needShift: true,  // mouse wheel zooming needs pressing of the shift key
1436          *   min: 0.001,       // minimal values of {@link JXG.Board#zoomX} and {@link JXG.Board#zoomY}, limits zoomOut
1437          *   max: 1000.0,      // maximal values of {@link JXG.Board#zoomX} and {@link JXG.Board#zoomY}, limits zoomIn
1438          *   center: 'auto',   // 'auto': the center of zoom is at the position of the mouse or at the midpoint of two fingers
1439          *                     // 'board': the center of zoom is at the board's center
1440          *   pinch: true,      // pinch-to-zoom gesture for proportional zoom
1441          *   pinchHorizontal: true, // Horizontal pinch-to-zoom zooms horizontal axis. Only available if keepaspectratio:false
1442          *   pinchVertical: true,   // Vertical pinch-to-zoom zooms vertical axis only. Only available if keepaspectratio:false
1443          *   pinchSensitivity: 7    // Sensitivity (in degrees) for recognizing horizontal or vertical pinch-to-zoom gestures.
1444          * }
1445          * </pre>
1446          *
1447          * If the zoom buttons are visible, zooming by clicking the buttons is still possible, regardless of zoom.enabled:true/false.
1448          * If this should be prevented, set showZoom:false.
1449          *
1450          * Deprecated: zoom.eps which is superseded by zoom.min
1451          *
1452          * @name JXG.Board#zoom
1453          * @type Object
1454          * @default See above
1455          * @see JXG.Board#showZoom
1456          *
1457          */
1458         zoom: {
1459             enabled: true,
1460             factorX: 1.25,
1461             factorY: 1.25,
1462             wheel: true,
1463             needShift: true,
1464             center: 'auto',
1465             min: 0.0001,
1466             max: 10000.0,
1467             pinch: true,
1468             pinchHorizontal: true,
1469             pinchVertical: true,
1470             pinchSensitivity: 7
1471         },
1472 
1473         // /**
1474         //  * Additional zoom factor multiplied to {@link JXG.Board#zoomX} and {@link JXG.Board#zoomY}.
1475         //  *
1476         //  * @name JXG.Board#zoomFactor
1477         //  * @type Number
1478         //  * @default 1.0
1479         //  */
1480         // zoomFactor: 1,
1481 
1482         /**
1483          * Zoom factor in horizontal direction.
1484          *
1485          * @name JXG.Board#zoomX
1486          * @see JXG.Board#zoomY
1487          * @type Number
1488          * @default 1.0
1489          */
1490         zoomX: 1,
1491 
1492         /**
1493          * Zoom factor in vertical direction.
1494          *
1495          * @name JXG.Board#zoomY
1496          * @see JXG.Board#zoomX
1497          * @type Number
1498          * @default 1.0
1499          */
1500         zoomY: 1
1501 
1502         /**#@-*/
1503     },
1504 
1505     /**
1506      * Options that are used by the navigation bar.
1507      *
1508      * Default values are
1509      * <pre>
1510      * JXG.Option.navbar: {
1511      *   strokeColor: '#333333',
1512      *   fillColor: 'transparent',
1513      *   highlightFillColor: '#aaaaaa',
1514      *   padding: '2px',
1515      *   position: 'absolute',
1516      *   fontSize: '14px',
1517      *   cursor: 'pointer',
1518      *   zIndex: '100',
1519      *   right: '5px',
1520      *   bottom: '5px'
1521      * },
1522      * </pre>
1523      * These settings are overruled by the CSS class 'JXG_navigation'.
1524      * @deprecated
1525      * @type Object
1526      * @name JXG.Options#navbar
1527      *
1528      */
1529     navbar: {
1530         strokeColor: '#333333', //'#aaaaaa',
1531         fillColor: 'transparent', //#f5f5f5',
1532         highlightFillColor: '#aaaaaa',
1533         padding: '2px',
1534         position: 'absolute',
1535         fontSize: '14px',
1536         cursor: 'pointer',
1537         zIndex: '100',
1538         right: '5px',
1539         bottom: '5px'
1540         //border: 'none 1px black',
1541         //borderRadius: '4px'
1542     },
1543 
1544     /*
1545      *  Generic options used by {@link JXG.GeometryElement}
1546      */
1547     elements: {
1548         /**#@+
1549          * @visprop
1550          */
1551         // This is a meta tag: http://code.google.com/p/jsdoc-toolkit/wiki/MetaTags
1552 
1553         /**
1554          * Determines the elements border-style.
1555          * Possible values are:
1556          * <ul><li>0 for a solid line</li>
1557          * <li>1 for a dotted line</li>
1558          * <li>2 for a line with small dashes</li>
1559          * <li>3 for a line with medium dashes</li>
1560          * <li>4 for a line with big dashes</li>
1561          * <li>5 for a line with alternating medium and big dashes and large gaps</li>
1562          * <li>6 for a line with alternating medium and big dashes and small gaps</li>
1563          * <li>7 for a dotted line. Needs {@link JXG.GeometryElement#linecap} set to "round" for round dots.</li>
1564          * </ul>
1565          * The dash patterns are defined in {@link JXG.AbstractRenderer#dashArray}.
1566          *
1567          * @type Number
1568          * @name JXG.GeometryElement#dash
1569          * @default 0
1570          *
1571          * @see JXG.GeometryElement#lineCap
1572          * @see JXG.AbstractRenderer#dashArray
1573          */
1574         dash: 0,
1575 
1576         /**
1577          * If true, the dash pattern is multiplied by strokeWidth / 2.
1578          * @name JXG.GeometryElement#dashScale
1579          * @type Boolean
1580          * @default false
1581          *
1582          * @see JXG.GeometryElement#dash
1583          * @see JXG.AbstractRenderer#dashArray
1584          */
1585         dashScale: false,
1586 
1587         /**
1588          * If draft.draft: true the element will be drawn in grey scale colors (as default)
1589          * to visualize that it's only a draft.
1590          *
1591          * @name JXG.GeometryElement#draft
1592          * @type Object
1593          * @default <tt>{@link JXG.Options.elements.draft#draft}</tt>
1594          */
1595         draft: {
1596             draft: false,
1597             strokeColor: '#565656',
1598             fillColor: '#565656',
1599             strokeOpacity: 0.8,
1600             fillOpacity: 0.8,
1601             strokeWidth: 1
1602         },
1603 
1604         /**
1605          * If the element is dragged it will be moved on mousedown or touchstart to the
1606          * top of its layer. Works only for SVG renderer and for simple elements
1607          * consisting of one SVG node.
1608          * @example
1609          * var li1 = board.create('line', [1, 1, 1], {strokeWidth: 20, dragToTopOfLayer: true});
1610          * var li2 = board.create('line', [1, -1, 1], {strokeWidth: 20, strokeColor: 'red'});
1611          *
1612          * </pre><div id="JXG38449fee-1ab4-44de-b7d1-43caa1f50f86" class="jxgbox" style="width: 300px; height: 300px;"></div>
1613          * <script type="text/javascript">
1614          *     (function() {
1615          *         var board = JXG.JSXGraph.initBoard('JXG38449fee-1ab4-44de-b7d1-43caa1f50f86',
1616          *             {boundingbox: [-8, 8, 8,-8], axis: true, showcopyright: false, shownavigation: false});
1617          *     var li1 = board.create('line', [1, 1, 1], {strokeWidth: 20, dragToTopOfLayer: true});
1618          *     var li2 = board.create('line', [1, -1, 1], {strokeWidth: 20, strokeColor: 'red'});
1619          *
1620          *     })();
1621          *
1622          * </script><pre>
1623          *
1624          * @type Boolean
1625          * @default false
1626          * @name JXG.GeometryElement#dragToTopOfLayer
1627          */
1628         dragToTopOfLayer: false,
1629 
1630         /**
1631          * The fill color of this geometry element.
1632          * @type String
1633          * @name JXG.GeometryElement#fillColor
1634          * @see JXG.GeometryElement#highlightFillColor
1635          * @see JXG.GeometryElement#fillOpacity
1636          * @see JXG.GeometryElement#highlightFillOpacity
1637          * @default JXG.palette.red
1638          */
1639         fillColor: Color.palette.red,
1640 
1641         /**
1642          * Opacity for fill color.
1643          * @type Number
1644          * @name JXG.GeometryElement#fillOpacity
1645          * @see JXG.GeometryElement#fillColor
1646          * @see JXG.GeometryElement#highlightFillColor
1647          * @see JXG.GeometryElement#highlightFillOpacity
1648          * @default 1
1649          */
1650         fillOpacity: 1,
1651 
1652         /**
1653          * If true the element is fixed and can not be dragged around. The element
1654          * will be repositioned on zoom and moveOrigin events.
1655          * @type Boolean
1656          * @default false
1657          * @name JXG.GeometryElement#fixed
1658          */
1659         fixed: false,
1660 
1661         /**
1662          * If true the element is fixed and can not be dragged around. The element
1663          * will even stay at its position on zoom and moveOrigin events.
1664          * Only free elements like points, texts, images, curves can be frozen.
1665          * For slider elements, the subobjects point1 and point2 have to be "frozen".
1666          *
1667          * @type Boolean
1668          * @default false
1669          * @name JXG.GeometryElement#frozen
1670          *
1671          * @example
1672          * var txt = board.create('text', [1, 2, 'Hello'], {frozen: true, fontSize: 24});
1673          * var sli = board.create('slider', [[-4, 4], [-1.5, 4], [-10, 1, 10]], {
1674          *     name:'a',
1675          *     point1: {frozen: true},
1676          *     point2: {frozen: true}
1677          * });
1678          *
1679          * </pre><div id="JXG02f88c9d-8c0a-4174-9219-f0ea43749159" class="jxgbox" style="width: 300px; height: 300px;"></div>
1680          * <script type="text/javascript">
1681          *     (function() {
1682          *         var board = JXG.JSXGraph.initBoard('JXG02f88c9d-8c0a-4174-9219-f0ea43749159',
1683          *             {boundingbox: [-8, 8, 8,-8], axis: true, showcopyright: false, shownavigation: false});
1684          *     var txt = board.create('text', [1, 2, 'Hello'], {frozen: true, fontSize: 24});
1685          *     var sli = board.create('slider', [[-4, 4], [-1.5, 4], [-10, 1, 10]], {
1686          *         name:'a',
1687          *         point1: {frozen: true},
1688          *         point2: {frozen: true}
1689          *     });
1690          *
1691          *     })();
1692          *
1693          * </script><pre>
1694          *
1695          */
1696         frozen: false,
1697 
1698         /**
1699          * Gradient type. Possible values are 'linear'. 'radial' or null.
1700          *
1701          * @example
1702          *     var a = board.create('slider', [[0, -0.2], [3.5, -0.2], [0, 0, 2 * Math.PI]], {name: 'angle'});
1703          *     var b = board.create('slider', [[0, -0.4], [3.5, -0.4], [0, 0, 1]], {name: 'offset1'});
1704          *     var c = board.create('slider', [[0, -0.6], [3.5, -0.6], [0, 1, 1]], {name: 'offset2'});
1705          *
1706          *     var pol = board.create('polygon', [[0, 0], [4, 0], [4,4], [0,4]], {
1707          *                 fillOpacity: 1,
1708          *                 fillColor: 'yellow',
1709          *                 gradient: 'linear',
1710          *                 gradientSecondColor: 'blue',
1711          *                 gradientAngle: function() { return a.Value(); },
1712          *                 gradientStartOffset: function() { return b.Value(); },
1713          *                 gradientEndOffset: function() { return c.Value(); },
1714          *                 hasInnerPoints: true
1715          *         });
1716          *
1717          * </pre><div id="JXG3d04b5fd-0cd4-4f49-8c05-4e9686cd7ff0" class="jxgbox" style="width: 300px; height: 300px;"></div>
1718          * <script type="text/javascript">
1719          *     (function() {
1720          *         var board = JXG.JSXGraph.initBoard('JXG3d04b5fd-0cd4-4f49-8c05-4e9686cd7ff0',
1721          *             {boundingbox: [-1.5, 4.5, 5, -1.5], axis: true, showcopyright: false, shownavigation: false});
1722          *         var a = board.create('slider', [[0, -0.2], [3.5, -0.2], [0, 0, 2 * Math.PI]], {name: 'angle'});
1723          *         var b = board.create('slider', [[0, -0.4], [3.5, -0.4], [0, 0, 1]], {name: 'offset1'});
1724          *         var c = board.create('slider', [[0, -0.6], [3.5, -0.6], [0, 1, 1]], {name: 'offset2'});
1725          *
1726          *         var pol = board.create('polygon', [[0, 0], [4, 0], [4,4], [0,4]], {
1727          *                     fillOpacity: 1,
1728          *                     fillColor: 'yellow',
1729          *                     gradient: 'linear',
1730          *                     gradientSecondColor: 'blue',
1731          *                     gradientAngle: function() { return a.Value(); },
1732          *                     gradientStartOffset: function() { return b.Value(); },
1733          *                     gradientEndOffset: function() { return c.Value(); },
1734          *                     hasInnerPoints: true
1735          *             });
1736          *
1737          *     })();
1738          *
1739          * </script><pre>
1740          *
1741          * @example
1742          *     var cx = board.create('slider', [[0, -.2], [3.5, -.2], [0, 0.5, 1]], {name: 'cx, cy'});
1743          *     var fx = board.create('slider', [[0, -.4], [3.5, -.4], [0, 0.5, 1]], {name: 'fx, fy'});
1744          *     var o1 = board.create('slider', [[0, -.6], [3.5, -.6], [0, 0.0, 1]], {name: 'offset1'});
1745          *     var o2 = board.create('slider', [[0, -.8], [3.5, -.8], [0, 1, 1]], {name: 'offset2'});
1746          *     var r = board.create('slider', [[0, -1], [3.5, -1], [0, 0.5, 1]], {name: 'r'});
1747          *     var fr = board.create('slider', [[0, -1.2], [3.5, -1.2], [0, 0, 1]], {name: 'fr'});
1748          *
1749          *     var pol = board.create('polygon', [[0, 0], [4, 0], [4,4], [0,4]], {
1750          *                 fillOpacity: 1,
1751          *                 fillColor: 'yellow',
1752          *                 gradient: 'radial',
1753          *                 gradientSecondColor: 'blue',
1754          *                 gradientCX: function() { return cx.Value(); },
1755          *                 gradientCY: function() { return cx.Value(); },
1756          *                 gradientR: function() { return r.Value(); },
1757          *                 gradientFX: function() { return fx.Value(); },
1758          *                 gradientFY: function() { return fx.Value(); },
1759          *                 gradientFR: function() { return fr.Value(); },
1760          *                 gradientStartOffset: function() { return o1.Value(); },
1761          *                 gradientEndOffset: function() { return o2.Value(); },
1762          *                 hasInnerPoints: true
1763          *     });
1764          *
1765          * </pre><div id="JXG6081ca7f-0d09-4525-87ac-325a02fe2225" class="jxgbox" style="width: 300px; height: 300px;"></div>
1766          * <script type="text/javascript">
1767          *     (function() {
1768          *         var board = JXG.JSXGraph.initBoard('JXG6081ca7f-0d09-4525-87ac-325a02fe2225',
1769          *             {boundingbox: [-1.5, 4.5, 5, -1.5], axis: true, showcopyright: false, shownavigation: false});
1770          *         var cx = board.create('slider', [[0, -.2], [3.5, -.2], [0, 0.5, 1]], {name: 'cx, cy'});
1771          *         var fx = board.create('slider', [[0, -.4], [3.5, -.4], [0, 0.5, 1]], {name: 'fx, fy'});
1772          *         var o1 = board.create('slider', [[0, -.6], [3.5, -.6], [0, 0.0, 1]], {name: 'offset1'});
1773          *         var o2 = board.create('slider', [[0, -.8], [3.5, -.8], [0, 1, 1]], {name: 'offset2'});
1774          *         var r = board.create('slider', [[0, -1], [3.5, -1], [0, 0.5, 1]], {name: 'r'});
1775          *         var fr = board.create('slider', [[0, -1.2], [3.5, -1.2], [0, 0, 1]], {name: 'fr'});
1776          *
1777          *         var pol = board.create('polygon', [[0, 0], [4, 0], [4,4], [0,4]], {
1778          *                     fillOpacity: 1,
1779          *                     fillColor: 'yellow',
1780          *                     gradient: 'radial',
1781          *                     gradientSecondColor: 'blue',
1782          *                     gradientCX: function() { return cx.Value(); },
1783          *                     gradientCY: function() { return cx.Value(); },
1784          *                     gradientR: function() { return r.Value(); },
1785          *                     gradientFX: function() { return fx.Value(); },
1786          *                     gradientFY: function() { return fx.Value(); },
1787          *                     gradientFR: function() { return fr.Value(); },
1788          *                     gradientStartOffset: function() { return o1.Value(); },
1789          *                     gradientEndOffset: function() { return o2.Value(); },
1790          *                     hasInnerPoints: true
1791          *         });
1792          *
1793          *     })();
1794          *
1795          * </script><pre>
1796          *
1797          *
1798          * @type String
1799          * @name JXG.GeometryElement#gradient
1800          * @see JXG.GeometryElement#gradientSecondColor
1801          * @see JXG.GeometryElement#gradientSecondOpacity
1802          * @default null
1803          */
1804         gradient: null,
1805 
1806         /**
1807          * Angle (in radians) of the gradiant in case the gradient is of type 'linear'.
1808          * If the angle is 0, the first color is on the left and the second color is on the right.
1809          * If the angle is π/2 the first color is on top and the second color at the
1810          * bottom.
1811          * @type Number
1812          * @name JXG.GeometryElement#gradientAngle
1813          * @see JXG.GeometryElement#gradient
1814          * @default 0
1815          */
1816         gradientAngle: 0,
1817 
1818         /**
1819          * From the SVG specification: ‘cx’, ‘cy’ and ‘r’ define the largest (i.e., outermost) circle for the radial gradient.
1820          * The gradient will be drawn such that the 100% gradient stop is mapped to the perimeter of this largest (i.e., outermost) circle.
1821          * For radial gradients in canvas this is the value 'x1'.
1822          * Takes a value between 0 and 1.
1823          * @type Number
1824          * @name JXG.GeometryElement#gradientCX
1825          * @see JXG.GeometryElement#gradient
1826          * @see JXG.GeometryElement#gradientCY
1827          * @see JXG.GeometryElement#gradientR
1828          * @default 0.5
1829          */
1830         gradientCX: 0.5,
1831 
1832         /**
1833          * From the SVG specification: ‘cx’, ‘cy’ and ‘r’ define the largest (i.e., outermost) circle for the radial gradient.
1834          * The gradient will be drawn such that the 100% gradient stop is mapped to the perimeter of this largest (i.e., outermost) circle.
1835          * For radial gradients in canvas this is the value 'y1'.
1836          * Takes a value between 0 and 1.
1837          * @type Number
1838          * @name JXG.GeometryElement#gradientCY
1839          * @see JXG.GeometryElement#gradient
1840          * @see JXG.GeometryElement#gradientCX
1841          * @see JXG.GeometryElement#gradientR
1842          * @default 0.5
1843          */
1844         gradientCY: 0.5,
1845 
1846         /**
1847          * The gradientEndOffset attribute is a number (ranging from 0 to 1) which indicates where the second gradient stop is placed,
1848          * see the SVG specification for more information.
1849          * For linear gradients, this attribute represents a location along the gradient vector.
1850          * For radial gradients, it represents a percentage distance from (fx,fy) to the edge of the outermost/largest circle.
1851          * @type Number
1852          * @name JXG.GeometryElement#gradientEndOffset
1853          * @see JXG.GeometryElement#gradient
1854          * @see JXG.GeometryElement#gradientStartOffset
1855          * @default 1.0
1856          */
1857         gradientEndOffset: 1.0,
1858 
1859         /**
1860          * ‘fx’ and ‘fy’ define the focal point for the radial gradient.
1861          * The gradient will be drawn such that the 0% gradient stop is mapped to (fx, fy).
1862          * For radial gradients in canvas this is the value 'x0'.
1863          * Takes a value between 0 and 1.
1864          * @type Number
1865          * @name JXG.GeometryElement#gradientFX
1866          * @see JXG.GeometryElement#gradient
1867          * @see JXG.GeometryElement#gradientFY
1868          * @see JXG.GeometryElement#gradientFR
1869          * @default 0.5
1870          */
1871         gradientFX: 0.5,
1872 
1873         /**
1874          * y-coordinate of the circle center for the second color in case of gradient 'radial'. (The attribute fy in SVG)
1875          * For radial gradients in canvas this is the value 'y0'.
1876          * Takes a value between 0 and 1.
1877          * @type Number
1878          * @name JXG.GeometryElement#gradientFY
1879          * @see JXG.GeometryElement#gradient
1880          * @see JXG.GeometryElement#gradientFX
1881          * @see JXG.GeometryElement#gradientFR
1882          * @default 0.5
1883          */
1884         gradientFY: 0.5,
1885 
1886         /**
1887          * This attribute defines the radius of the start circle of the radial gradient.
1888          * The gradient will be drawn such that the 0% <stop> is mapped to the perimeter of the start circle.
1889          * For radial gradients in canvas this is the value 'r0'.
1890          * Takes a value between 0 and 1.
1891          * @type Number
1892          * @name JXG.GeometryElement#gradientFR
1893          * @see JXG.GeometryElement#gradient
1894          * @see JXG.GeometryElement#gradientFX
1895          * @see JXG.GeometryElement#gradientFY
1896          * @default 0.0
1897          */
1898         gradientFR: 0.0,
1899 
1900         /**
1901          * From the SVG specification: ‘cx’, ‘cy’ and ‘r’ define the largest (i.e., outermost) circle for the radial gradient.
1902          * The gradient will be drawn such that the 100% gradient stop is mapped to the perimeter of this largest (i.e., outermost) circle.
1903          * For radial gradients in canvas this is the value 'r1'.
1904          * Takes a value between 0 and 1.
1905          * @type Number
1906          * @name JXG.GeometryElement#gradientR
1907          * @see JXG.GeometryElement#gradient
1908          * @see JXG.GeometryElement#gradientCX
1909          * @see JXG.GeometryElement#gradientCY
1910          * @default 0.5
1911          */
1912         gradientR: 0.5,
1913 
1914         /**
1915          * Second color for gradient.
1916          * @type String
1917          * @name JXG.GeometryElement#gradientSecondColor
1918          * @see JXG.GeometryElement#gradient
1919          * @see JXG.GeometryElement#gradientSecondOpacity
1920          * @default '#ffffff'
1921          */
1922         gradientSecondColor: '#ffffff',
1923 
1924         /**
1925          * Opacity of second gradient color. Takes a value between 0 and 1.
1926          * @type Number
1927          * @name JXG.GeometryElement#gradientSecondOpacity
1928          * @see JXG.GeometryElement#gradient
1929          * @see JXG.GeometryElement#gradientSecondColor
1930          * @default 1
1931          */
1932         gradientSecondOpacity: 1,
1933 
1934         /**
1935          * The gradientStartOffset attribute is a number (ranging from 0 to 1) which indicates where the first gradient stop is placed,
1936          * see the SVG specification for more information.
1937          * For linear gradients, this attribute represents a location along the gradient vector.
1938          * For radial gradients, it represents a percentage distance from (fx,fy) to the edge of the outermost/largest circle.
1939          * @type Number
1940          * @name JXG.GeometryElement#gradientStartOffset
1941          * @see JXG.GeometryElement#gradient
1942          * @see JXG.GeometryElement#gradientEndOffset
1943          * @default 0.0
1944          */
1945         gradientStartOffset: 0.0,
1946 
1947         /**
1948          * @type Boolean
1949          * @default true
1950          * @name JXG.GeometryElement#highlight
1951          */
1952         highlight: true,
1953 
1954         /**
1955          * The fill color of the given geometry element when the mouse is pointed over it.
1956          * @type String
1957          * @name JXG.GeometryElement#highlightFillColor
1958          * @see JXG.GeometryElement#fillColor
1959          * @see JXG.GeometryElement#fillOpacity
1960          * @see JXG.GeometryElement#highlightFillOpacity
1961          * @default 'none'
1962          */
1963         highlightFillColor: 'none',
1964 
1965         /**
1966          * Opacity for fill color when the object is highlighted.
1967          * @type Number
1968          * @name JXG.GeometryElement#highlightFillOpacity
1969          * @see JXG.GeometryElement#fillColor
1970          * @see JXG.GeometryElement#highlightFillColor
1971          * @see JXG.GeometryElement#fillOpacity
1972          * @default 1
1973          */
1974         highlightFillOpacity: 1,
1975 
1976         /**
1977          * The stroke color of the given geometry element when the user moves the mouse over it.
1978          * @type String
1979          * @name JXG.GeometryElement#highlightStrokeColor
1980          * @see JXG.GeometryElement#strokeColor
1981          * @see JXG.GeometryElement#strokeWidth
1982          * @see JXG.GeometryElement#strokeOpacity
1983          * @see JXG.GeometryElement#highlightStrokeOpacity
1984          * @default '#c3d9ff'
1985          */
1986         highlightStrokeColor: '#c3d9ff',
1987 
1988         /**
1989          * Opacity for stroke color when the object is highlighted.
1990          * @type Number
1991          * @name JXG.GeometryElement#highlightStrokeOpacity
1992          * @see JXG.GeometryElement#strokeColor
1993          * @see JXG.GeometryElement#highlightStrokeColor
1994          * @see JXG.GeometryElement#strokeWidth
1995          * @see JXG.GeometryElement#strokeOpacity
1996          * @default 1
1997          */
1998         highlightStrokeOpacity: 1,
1999 
2000         /**
2001          * Width of the element's stroke when the mouse is pointed over it.
2002          * @type Number
2003          * @name JXG.GeometryElement#highlightStrokeWidth
2004          * @see JXG.GeometryElement#strokeColor
2005          * @see JXG.GeometryElement#highlightStrokeColor
2006          * @see JXG.GeometryElement#strokeOpacity
2007          * @see JXG.GeometryElement#highlightStrokeOpacity
2008          * @see JXG.GeometryElement#highlightFillColor
2009          * @default 2
2010          */
2011         highlightStrokeWidth: 2,
2012 
2013         /**
2014          * @name JXG.GeometryElement#isLabel
2015          * @default false
2016          * @private
2017         */
2018         // By default, an element is not a label. Do not change this.
2019         isLabel: false,
2020 
2021         /**
2022          * Display layer which will contain the element.
2023          * @name JXG.GeometryElement#layer
2024          * @see JXG.Options#layer
2025          * @default See {@link JXG.Options#layer}
2026          */
2027         layer: 0,
2028 
2029         /**
2030          * Line endings (linecap) of a stroke element, i.e. line, circle, curve.
2031          * Possible values are:
2032          * <ul>
2033          * <li> 'butt',
2034          * <li> 'round',
2035          * <li> 'square'.
2036          * </ul>
2037          * Not available for VML renderer.
2038          *
2039          * @name JXG.GeometryElement#lineCap
2040          * @type String
2041          * @default 'butt'
2042          */
2043         lineCap: 'butt',
2044 
2045         /**
2046          * If this is set to true, the element is updated in every update
2047          * call of the board. If set to false, the element is updated only after
2048          * zoom events or more generally, when the bounding box has been changed.
2049          * Examples for the latter behavior should be axes.
2050          * @type Boolean
2051          * @default true
2052          * @see JXG.GeometryElement#needsRegularUpdate
2053          * @name JXG.GeometryElement#needsRegularUpdate
2054          */
2055         needsRegularUpdate: true,
2056 
2057         /**
2058          * If some size of an element is controlled by a function, like the circle radius
2059          * or segments of fixed length, this attribute controls what happens if the value
2060          * is negative. By default, the absolute value is taken. If true, the maximum
2061          * of 0 and the value is used.
2062          *
2063          * @type Boolean
2064          * @default false
2065          * @name JXG.GeometryElement#nonnegativeOnly
2066          * @example
2067          * var slider = board.create('slider', [[4, -3], [4, 3], [-4, 1, 4]], { name: 'a'});
2068          * var circle = board.create('circle', [[-1, 0], 1], {
2069          *     nonnegativeOnly: true
2070          * });
2071          * circle.setRadius('a');         // Use JessieCode
2072          * var seg = board.create('segment', [[-4, 3], [0, 3], () => slider.Value()], {
2073          *     point1: {visible: true},
2074          *     point2: {visible: true},
2075          *     nonnegativeOnly: true
2076          * });
2077          *
2078          * </pre><div id="JXG9cb76224-1f78-4488-b20f-800788768bc9" class="jxgbox" style="width: 300px; height: 300px;"></div>
2079          * <script type="text/javascript">
2080          *     (function() {
2081          *         var board = JXG.JSXGraph.initBoard('JXG9cb76224-1f78-4488-b20f-800788768bc9',
2082          *             {boundingbox: [-8, 8, 8,-8], axis: true, showcopyright: false, shownavigation: false});
2083          *     var slider = board.create('slider', [[4, -3], [4, 3], [-4, 1, 4]], { name: 'a'});
2084          *     var circle = board.create('circle', [[-1, 0], 1], {
2085          *         nonnegativeOnly: true
2086          *     });
2087          *     circle.setRadius('a');         // Use JessieCode
2088          *     var seg = board.create('segment', [[-4, 3], [0, 3], () => slider.Value()], {
2089          *         point1: {visible: true},
2090          *         point2: {visible: true},
2091          *         nonnegativeOnly: true
2092          *     });
2093          *
2094          *     })();
2095          *
2096          * </script><pre>
2097          *
2098          */
2099         nonnegativeOnly: false,
2100 
2101         /**
2102          * Precision options for JSXGraph elements.
2103          * This attributes takes either the value 'inherit' or an object of the form:
2104          * <pre>
2105          * precision: {
2106          *      touch: 30,
2107          *      mouse: 4,
2108          *      pen: 4
2109          * }
2110          * </pre>
2111          *
2112          * In the first case, the global, JSXGraph-wide values of JXGraph.Options.precision
2113          * are taken.
2114          *
2115          * @type {String|Object}
2116          * @name JXG.GeometryElement#precision
2117          * @see JXG.Options#precision
2118          * @default 'inherit'
2119          */
2120         precision: 'inherit',
2121 
2122         /**
2123          * A private element will be inaccessible in certain environments, e.g. a graphical user interface.
2124          *
2125          * @name JXG.GeometryElement#priv
2126          * @type Boolean
2127          * @default false
2128          */
2129         priv: false,
2130 
2131         /**
2132          * Determines whether two-finger manipulation may rotate this object.
2133          * If set to false, the object can only be scaled and translated.
2134          * <p>
2135          * In case the element is a polygon or line and it has the attribute "rotatable:false",
2136          * moving the element with two fingers results in a rotation or translation.
2137          * <p>
2138          * If an element is set to be neither scalable nor rotatable, it can only be translated.
2139          * <p>
2140          * In case of a polygon, scaling is only possible if <i>no</i> vertex has snapToGrid or snapToPoints
2141          * enabled and no vertex is fixed by some other constraint. Also, the polygon itself has to have
2142          * snapToGrid disabled.
2143          *
2144          * @type Boolean
2145          * @default true
2146          * @name JXG.GeometryElement#rotatable
2147          * @see JXG.GeometryElement#scalable
2148          */
2149         rotatable: true,
2150 
2151         /**
2152          * Determines whether two-finger manipulation of this object may change its size.
2153          * If set to false, the object is only rotated and translated.
2154          * <p>
2155          * In case the element is a horizontal or vertical line having ticks, "scalable:true"
2156          * enables zooming of the board by dragging ticks lines. This feature is enabled,
2157          * for the ticks element of the line element the attribute "fixed" has to be false
2158          * and the line element's scalable attribute has to be true.
2159          * <p>
2160          * In case the element is a polygon or line and it has the attribute "scalable:false",
2161          * moving the element with two fingers results in a rotation or translation.
2162          * <p>
2163          * If an element is set to be neither scalable nor rotatable, it can only be translated.
2164          * <p>
2165          * In case of a polygon, scaling is only possible if <i>no</i> vertex has snapToGrid or snapToPoints
2166          * enabled and no vertex is fixed by some other constraint. Also, the polygon itself has to have
2167          * snapToGrid disabled.
2168          *
2169          * @type Boolean
2170          * @default true
2171          * @name JXG.GeometryElement#scalable
2172          * @see JXG.Ticks#fixed
2173          * @see JXG.GeometryElement#rotatable
2174          */
2175         scalable: true,
2176 
2177         /**
2178          * If enabled:true the (stroke) element will get a customized shadow.
2179          * <p>
2180          * Customize <i>color</i> and <i>opacity</i>:
2181          * If the object's RGB stroke color is <tt>[r,g,b]</tt> and its opacity is <tt>op</i>, and
2182          * the shadow parameters <i>color</i> is given as <tt>[r', g', b']</tt> and <i>opacity</i> as <tt>op'</tt>
2183          * the shadow will receive the RGB color
2184          * <center>
2185          * <tt>[blend*r + r', blend*g + g', blend*b + b'] </tt>
2186          * </center>
2187          * and its opacity will be equal to <tt>op * op'</tt>.
2188          * Further, the parameters <i>blur</i> and <i>offset</i> can be adjusted.
2189          * <p>
2190          * This attribute is only available with SVG, not with canvas.
2191          *
2192          * @type Object
2193          * @name JXG.GeometryElement#shadow
2194          * @default shadow: {
2195          *   enabled: false,
2196          *   color: [0, 0, 0],
2197          *   opacity: 1,
2198          *   blur: 3,
2199          *   blend: 0.1,
2200          *   offset: [5, 5]
2201          * }
2202          *
2203          * @example
2204          * board.options.line.strokeWidth = 2
2205          * // No shadow
2206          * var li1 = board.create('line', [[-2, 5], [2, 6]], {strokeColor: 'red', shadow: false});
2207          *
2208          * // Default shadow
2209          * var li2 = board.create('line', [[-2, 3], [2, 4]], {strokeColor: 'red', shadow: true});
2210          *
2211          * // No shadow
2212          * var li3 = board.create('line', [[-2, 1], [2, 2]], {strokeColor: 'blue', shadow: {enabled: false}});
2213          *
2214          * // Shadow uses same color as line
2215          * var li4 = board.create('line', [[-2, -1], [2, 0]], {strokeColor: 'blue',
2216          *             shadow: {enabled: true, color: '#000000', blend: 1}
2217          *         });
2218          *
2219          * // Shadow color as a mixture between black and the line color, additionally set opacity
2220          * var li5 = board.create('line', [[-2, -3], [2, -2]], {strokeColor: 'blue',
2221          *             shadow: {enabled: true, color: '#000000', blend: 0.5, opacity: 0.5}
2222          *         });
2223          *
2224          * // Use different value for blur and offset [dx, dy]
2225          * var li6 = board.create('line', [[-2, -5], [2, -4]], {strokeColor: 'blue',
2226          *             shadow: {enabled: true, offset:[0, 25], blur: 6}
2227          *         });
2228          *
2229          * </pre><div id="JXG1185a9fa-0fa5-425f-8c15-55b56e1be958" class="jxgbox" style="width: 300px; height: 300px;"></div>
2230          * <script type="text/javascript">
2231          *     (function() {
2232          *         var board = JXG.JSXGraph.initBoard('JXG1185a9fa-0fa5-425f-8c15-55b56e1be958',
2233          *             {boundingbox: [-8, 8, 8,-8], axis: true, showcopyright: false, shownavigation: false});
2234          *     board.options.line.strokeWidth = 2
2235          *     // No shadow
2236          *     var li1 = board.create('line', [[-2, 5], [2, 6]], {strokeColor: 'red', shadow: false});
2237          *
2238          *     // Default shadow
2239          *     var li2 = board.create('line', [[-2, 3], [2, 4]], {strokeColor: 'red', shadow: true});
2240          *
2241          *     // No shadow
2242          *     var li3 = board.create('line', [[-2, 1], [2, 2]], {strokeColor: 'blue', shadow: {enabled: false}});
2243          *
2244          *     // Shadow uses same color as line
2245          *     var li4 = board.create('line', [[-2, -1], [2, 0]], {strokeColor: 'blue',
2246          *                 shadow: {enabled: true, color: '#000000', blend: 1}
2247          *             });
2248          *
2249          *     // Shadow color as a mixture between black and the line color, additionally set opacity
2250          *     var li5 = board.create('line', [[-2, -3], [2, -2]], {strokeColor: 'blue',
2251          *                 shadow: {enabled: true, color: '#000000', blend: 0.5, opacity: 0.5}
2252          *             });
2253          *
2254          *     // Use different value for blur and offset [dx, dy]
2255          *     var li6 = board.create('line', [[-2, -5], [2, -4]], {strokeColor: 'blue',
2256          *                 shadow: {enabled: true, offset:[0, 25], blur: 6}
2257          *             });
2258          *
2259          *     })();
2260          *
2261          * </script><pre>
2262          *
2263          */
2264         shadow: {
2265             enabled: false,
2266             color: [0, 0, 0],
2267             opacity: 1,
2268             blur: 3,
2269             blend: 0.1,
2270             offset: [5, 5]
2271         },
2272 
2273         /**
2274          * Snaps the element or its parents to the grid. Currently only relevant for points, circles,
2275          * and lines. Points are snapped to grid directly, on circles and lines it's only the parent
2276          * points that are snapped
2277          * @type Boolean
2278          * @default false
2279          * @name JXG.GeometryElement#snapToGrid
2280          */
2281         snapToGrid: false,
2282 
2283         /**
2284          * The stroke color of the given geometry element.
2285          * @type String
2286          * @name JXG.GeometryElement#strokeColor
2287          * @see JXG.GeometryElement#highlightStrokeColor
2288          * @see JXG.GeometryElement#strokeWidth
2289          * @see JXG.GeometryElement#strokeOpacity
2290          * @see JXG.GeometryElement#highlightStrokeOpacity
2291          * @default JXG.palette.blue
2292          */
2293         strokeColor: Color.palette.blue,
2294 
2295         /**
2296          * Opacity for element's stroke color.
2297          * @type Number
2298          * @name JXG.GeometryElement#strokeOpacity
2299          * @see JXG.GeometryElement#strokeColor
2300          * @see JXG.GeometryElement#highlightStrokeColor
2301          * @see JXG.GeometryElement#strokeWidth
2302          * @see JXG.GeometryElement#highlightStrokeOpacity
2303          * @default 1
2304          */
2305         strokeOpacity: 1,
2306 
2307         /**
2308          * Width of the element's stroke.
2309          * @type Number
2310          * @name JXG.GeometryElement#strokeWidth
2311          * @see JXG.GeometryElement#strokeColor
2312          * @see JXG.GeometryElement#highlightStrokeColor
2313          * @see JXG.GeometryElement#strokeOpacity
2314          * @see JXG.GeometryElement#highlightStrokeOpacity
2315          * @default 2
2316          */
2317         strokeWidth: 2,
2318 
2319         /**
2320          * Controls if an element can get the focus with the tab key.
2321          * tabindex corresponds to the HTML attribute of the same name.
2322          * See <a href="https://developer.mozilla.org/en-US/docs/Web/HTML/Global_attributes/tabindex">description at MDN</a>.
2323          * The additional value "null" completely disables focus of an element.
2324          * The value will be ignored if keyboard control of the board is not enabled or
2325          * the element is fixed or not visible.
2326          *
2327          * @name JXG.GeometryElement#tabindex
2328          * @type Number
2329          * @default 0
2330          * @see JXG.Board#keyboard
2331          * @see JXG.GeometryElement#fixed
2332          * @see JXG.GeometryElement#visible
2333          */
2334         tabindex: 0,
2335 
2336         /**
2337          * If true the element will be traced, i.e. on every movement the element will be copied
2338          * to the background. Use {@link JXG.GeometryElement#clearTrace} to delete the trace elements.
2339          *
2340          * The calling of element.setAttribute({trace:false}) additionally
2341          * deletes all traces of this element. By calling
2342          * element.setAttribute({trace:'pause'})
2343          * the removal of already existing traces can be prevented.
2344          *
2345          * The visual appearance of the trace can be influenced by {@link JXG.GeometryElement#traceAttributes}.
2346          *
2347          * @see JXG.GeometryElement#clearTrace
2348          * @see JXG.GeometryElement#traces
2349          * @see JXG.GeometryElement#numTraces
2350          * @see JXG.GeometryElement#traceAttributes
2351          * @type Boolean|String
2352          * @default false
2353          * @name JXG.GeometryElement#trace
2354          */
2355         trace: false,
2356 
2357         /**
2358          * Extra visual properties for traces of an element
2359          * @type Object
2360          * @see JXG.GeometryElement#trace
2361          * @name JXG.GeometryElement#traceAttributes
2362          * @default <tt>{}</tt>
2363          *
2364          * @example
2365          * JXG.Options.elements.traceAttributes = {
2366          *     size: 2
2367          * };
2368          *
2369          * const board = JXG.JSXGraph.initBoard(BOARDID, {
2370          *     boundingbox: [-4, 4, 4, -4],
2371          *     keepaspectratio: true
2372          * });
2373          *
2374          * var p = board.create('point', [0.0, 2.0], {
2375          *     trace: true,
2376          *     size: 10,
2377          *     traceAttributes: {
2378          *         color: 'black',
2379          *         face: 'x'
2380          *     }
2381          * });
2382          *
2383          * </pre><div id="JXG504889cb-bb6f-4b65-85db-3ad555c08bcf" class="jxgbox" style="width: 300px; height: 300px;"></div>
2384          * <script type="text/javascript">
2385          *     (function() {
2386          *     JXG.Options.elements.traceAttributes = {
2387          *         size: 2
2388          *     };
2389          *         var board = JXG.JSXGraph.initBoard('JXG504889cb-bb6f-4b65-85db-3ad555c08bcf',
2390          *             {boundingbox: [-4, 4, 4, -4], axis: true, showcopyright: false, shownavigation: true, showClearTraces: true});
2391          *
2392          *     var p = board.create('point', [0.0, 2.0], {
2393          *         trace: true,
2394          *         size: 10,
2395          *         traceAttributes: {
2396          *             color: 'black',
2397          *             face: 'x'
2398          *         }
2399          *     });
2400          *
2401          *     })();
2402          *
2403          * </script><pre>
2404          *
2405          */
2406         traceAttributes: {},
2407 
2408         /**
2409          * Transition duration (in milliseconds) for certain cahnges of properties like color and opacity.
2410          * The properties can be set in the attribute transitionProperties
2411          * Works in SVG renderer, only.
2412          * @type Number
2413          * @name JXG.GeometryElement#transitionDuration
2414          * @see JXG.GeometryElement#transitionProperties
2415          * @see JXG.GeometryElement#strokeColor
2416          * @see JXG.GeometryElement#highlightStrokeColor
2417          * @see JXG.GeometryElement#strokeOpacity
2418          * @see JXG.GeometryElement#highlightStrokeOpacity
2419          * @see JXG.GeometryElement#fillColor
2420          * @see JXG.GeometryElement#highlightFillColor
2421          * @see JXG.GeometryElement#fillOpacity
2422          * @see JXG.GeometryElement#highlightFillOpacity
2423          * @default 100 {@link JXG.Options.elements#transitionDuration}
2424          */
2425         transitionDuration: 100,
2426 
2427         /**
2428          * Properties which change smoothly in the time set in transitionDuration.
2429          * Possible values are
2430          * ['fill', 'fill-opacity', 'stroke', 'stroke-opacity', 'stroke-width', 'width', 'height', 'rx', 'ry']
2431          * (and maybe more) for geometry elements and
2432          * ['color', 'opacity', 'all'] for HTML texts.
2433          *
2434          * @type Array
2435          * @name JXG.GeometryElement#transitionProperties
2436          * @see JXG.GeometryElement#transitionDuration
2437          *
2438          *
2439          * @example
2440          * var p1 = board.create("point", [0, 2], {
2441          *     name: "A",
2442          *     highlightStrokeWidth: 10,
2443          *     transitionDuration: 1000,
2444          *     transitionProperties: ['width', 'height', 'stroke-width',
2445          *         'fill', 'fill-opacity', 'rx', 'ry', 'stroke', 'stroke-opacity'] });
2446          *
2447          * </pre><div id="JXGdf5230a1-5870-43db-b6ff-4d5b2f5b786b" class="jxgbox" style="width: 300px; height: 300px;"></div>
2448          * <script type="text/javascript">
2449          *     (function() {
2450          *         var board = JXG.JSXGraph.initBoard('JXGdf5230a1-5870-43db-b6ff-4d5b2f5b786b',
2451          *             {boundingbox: [-8, 8, 8,-8], axis: true, showcopyright: false, shownavigation: false});
2452          *     var p1 = board.create("point", [0, 2], {
2453          *         name: "A",
2454          *         highlightStrokeWidth: 20,
2455          *         transitionDuration: 1000,
2456          *         transitionProperties: ['width', 'height', 'stroke-width',
2457          *             'fill', 'fill-opacity', 'rx', 'ry', 'stroke', 'stroke-opacity'] });
2458          *
2459          *     })();
2460          *
2461          * </script><pre>
2462          *
2463          */
2464         transitionProperties: ['fill', 'fill-opacity', 'stroke', 'stroke-opacity', 'stroke-width'],
2465 
2466         /**
2467          * If false the element won't be visible on the board, otherwise it is shown.
2468          * @type Boolean
2469          * @name JXG.GeometryElement#visible
2470          * @see JXG.GeometryElement#hideElement
2471          * @see JXG.GeometryElement#showElement
2472          * @default true
2473          */
2474         visible: true,
2475 
2476         /**
2477          * Set individual viewport for an element. If not set to 'inherit', to
2478          * use the board-wide viewport, an array of the form '[left, top, right, bottom]' has to be given.
2479          *
2480          * @type {Array|String}
2481          * @name JXG.GeometryElement#viewport
2482          * @default 'inherit'
2483          * @see JXG.Board#viewport
2484          */
2485         viewport: 'inherit',
2486 
2487         /**
2488          * If true a label will display the element's name.
2489          * Using this to suppress labels is more efficient than visible:false.
2490          *
2491          * @name JXG.GeometryElement#withLabel
2492          * @type Boolean
2493          * @default false
2494          */
2495         withLabel: false
2496 
2497         // close the meta tag
2498         /**#@-*/
2499     },
2500 
2501     /*
2502      *  Generic options used by {@link JXG.Ticks}
2503      */
2504     ticks: {
2505         /**#@+
2506          * @visprop
2507          */
2508 
2509         /**
2510          * A function that expects two {@link JXG.Coords}, the first one representing the coordinates of the
2511          * tick that is to be labeled, the second one the coordinates of the center (the tick with position 0).
2512          * The third parameter is a null, number or a string. In the latter two cases, this value is taken.
2513          * Returns a string.
2514          *
2515          * @type function
2516          * @name Ticks#generateLabelText
2517          *
2518          * @example
2519          * const board = JXG.JSXGraph.initBoard('jxgbox', { boundingBox: [-10, 10, 10, -10], axis: true,
2520          *     defaultAxes: {
2521          *         x: {
2522          *                 margin: -4,
2523          *                 ticks: {
2524          *                     minTicksDistance: 0,
2525          *                     minorTicks:4,
2526          *                     ticksDistance: 3,
2527          *                     scale: Math.PI,
2528          *                     scaleSymbol: 'π',
2529          *                     insertTicks: true
2530          *                 }
2531          *              },
2532          *         y: {}
2533          *     }
2534          * });
2535          *
2536          * // Generate a logarithmic labelling of the vertical axis.
2537          * board.defaultAxes.y.ticks[0].generateLabelText = function (tick, zero) {
2538          *     var value = Math.pow(10, Math.round(tick.usrCoords[2] - zero.usrCoords[2])),
2539          *         distance, labelText;
2540          *     return this.formatLabelText(value);
2541          * };
2542          *
2543          * </pre><div id="JXG3d2203ee-a797-416a-a33c-409581fafdd7" class="jxgbox" style="width: 300px; height: 300px;"></div>
2544          * <script type="text/javascript">
2545          *     (function() {
2546          *         var board = JXG.JSXGraph.initBoard('JXG3d2203ee-a797-416a-a33c-409581fafdd7',
2547          *             {boundingbox: [-10, 10, 10, -10], axis: true, showcopyright: false, shownavigation: false,
2548          *         defaultAxes: {
2549          *             x: {
2550          *                     margin: -4,
2551          *                     ticks: {
2552          *                         minTicksDistance: 0,
2553          *                         minorTicks:4,
2554          *                         ticksDistance: 3,
2555          *                         scale: Math.PI,
2556          *                         scaleSymbol: 'π',
2557          *                         insertTicks: true
2558          *                     }
2559          *                  },
2560          *             y: {}
2561          *         }
2562          *     });
2563          *
2564          *     // Generate a logarithmic labelling of the vertical axis.
2565          *     board.defaultAxes.y.ticks[0].generateLabelText = function (tick, zero) {
2566          *         var value = Math.pow(10, Math.round(tick.usrCoords[2] - zero.usrCoords[2])),
2567          *             distance, labelText;
2568          *         return this.formatLabelText(value);
2569          *     };
2570          *
2571          *     })();
2572          *
2573          * </script><pre>
2574          *
2575          */
2576         generateLabelText: null,
2577 
2578         /**
2579          * A function that expects two {@link JXG.Coords}, the first one representing the coordinates of the
2580          * tick that is to be labeled, the second one the coordinates of the center (the tick with position 0).
2581          *
2582          * @deprecated Use {@link JGX.Options@generateLabelText}
2583          * @type function
2584          * @name Ticks#generateLabelValue
2585          */
2586         generateLabelValue: null,
2587 
2588         /**
2589          * Draw labels yes/no
2590          *
2591          * @type Boolean
2592          * @name Ticks#drawLabels
2593          * @default false
2594          */
2595         drawLabels: false,
2596 
2597         /**
2598          * Attributes for the ticks labels
2599          *
2600          * @name Ticks#label
2601          * @type Object
2602          * @default <tt>{}</tt>
2603          *
2604          */
2605         label: {
2606         },
2607 
2608         /**
2609         * Format tick labels that were going to have scientific notation
2610         * like 5.00e+6 to look like 5•10⁶.
2611         *
2612         * @example
2613         * var board = JXG.JSXGraph.initBoard("jxgbox", {
2614         *     boundingbox: [-500000, 500000, 500000, -500000],
2615         *     axis: true,
2616         *     defaultAxes: {
2617         *         x: {
2618         *             scalable: true,
2619         *             ticks: {
2620         *                 beautifulScientificTickLabels: true
2621         *           },
2622         *         },
2623         *         y: {
2624         *             scalable: true,
2625         *             ticks: {
2626         *                 beautifulScientificTickLabels: true
2627         *           },
2628         *         }
2629         *     },
2630         * });
2631         *
2632         * </pre><div id="JXGc1e46cd1-e025-4002-80aa-b450869fdaa2" class="jxgbox" style="width: 300px; height: 300px;"></div>
2633         * <script type="text/javascript">
2634         *     (function() {
2635         *     var board = JXG.JSXGraph.initBoard('JXGc1e46cd1-e025-4002-80aa-b450869fdaa2', {
2636         *         boundingbox: [-500000, 500000, 500000, -500000],
2637         *         showcopyright: false, shownavigation: false,
2638         *         axis: true,
2639         *         defaultAxes: {
2640         *             x: {
2641         *                 scalable: true,
2642         *                 ticks: {
2643         *                     beautifulScientificTickLabels: true
2644         *               },
2645         *             },
2646         *             y: {
2647         *                 scalable: true,
2648         *                 ticks: {
2649         *                     beautifulScientificTickLabels: true
2650         *               },
2651         *             }
2652         *         },
2653         *     });
2654         *
2655         *     })();
2656         *
2657         * </script><pre>
2658         *
2659         * @name Ticks#beautifulScientificTickLabels
2660         * @type Boolean
2661         * @default false
2662         */
2663         beautifulScientificTickLabels: false,
2664 
2665         /**
2666          * Use the unicode character 0x2212, i.e. the HTML entity &minus; as minus sign.
2667          * That is −1 instead of -1.
2668          *
2669          * @type Boolean
2670          * @name Ticks#useUnicodeMinus
2671          * @default true
2672          */
2673         useUnicodeMinus: true,
2674 
2675         /**
2676          * Determine the position of the tick with value 0. 'left' means point1 of the line, 'right' means point2,
2677          * and 'middle' is equivalent to the midpoint of the defining points. This attribute is ignored if the parent
2678          * line is of type axis.
2679          *
2680          * @type String
2681          * @name Ticks#anchor
2682          * @default 'left'
2683          *
2684          * @example
2685          * var li = board.create('segment', [[-4, -3], [4, 2]]);
2686          * var t = board.create('ticks', [li], {
2687          *     // drawZero: true,
2688          *     anchor: 'left',
2689          *     drawLabels: true,
2690          *     minorTicks: 0,
2691          *     label: {
2692          *         anchorX: 'middle',
2693          *         anchorY: 'top',
2694          *         offset: [0, -5]
2695          *     }
2696          * });
2697          *
2698          *
2699          * </pre><div id="JXG3dd23f77-a31d-4649-b0f0-7472722158d8" class="jxgbox" style="width: 300px; height: 300px;"></div>
2700          * <script type="text/javascript">
2701          *     (function() {
2702          *         var board = JXG.JSXGraph.initBoard('JXG3dd23f77-a31d-4649-b0f0-7472722158d8',
2703          *             {boundingbox: [-8, 8, 8,-8], axis: true, showcopyright: false, shownavigation: false});
2704          *     var li = board.create('segment', [[-4, -3], [4, 2]]);
2705          *     var t = board.create('ticks', [li], {
2706          *         // drawZero: true,
2707          *         anchor: 'left',
2708          *         drawLabels: true,
2709          *         minorTicks: 0,
2710          *         label: {
2711          *             anchorX: 'middle',
2712          *             anchorY: 'top',
2713          *             offset: [0, -5]
2714          *         }
2715          *     });
2716          *
2717          *
2718          *     })();
2719          *
2720          * </script><pre>
2721          *
2722          * @example
2723          * var li = board.create('segment', [[-4, -3], [4, 2]]);
2724          * var t = board.create('ticks', [li], {
2725          *     drawZero: true,
2726          *     anchor: 'middle',
2727          *     drawLabels: true,
2728          *     minorTicks: 0,
2729          *     label: {
2730          *         anchorX: 'middle',
2731          *         anchorY: 'top',
2732          *         offset: [0, -5]
2733          *     }
2734          * });
2735          *
2736          * </pre><div id="JXG430914fd-4e12-44de-b510-e3cc2fd473e0" class="jxgbox" style="width: 300px; height: 300px;"></div>
2737          * <script type="text/javascript">
2738          *     (function() {
2739          *         var board = JXG.JSXGraph.initBoard('JXG430914fd-4e12-44de-b510-e3cc2fd473e0',
2740          *             {boundingbox: [-8, 8, 8,-8], axis: true, showcopyright: false, shownavigation: false});
2741          *     var li = board.create('segment', [[-4, -3], [4, 2]]);
2742          *     var t = board.create('ticks', [li], {
2743          *         drawZero: true,
2744          *         anchor: 'middle',
2745          *         drawLabels: true,
2746          *         minorTicks: 0,
2747          *         label: {
2748          *             anchorX: 'middle',
2749          *             anchorY: 'top',
2750          *             offset: [0, -5]
2751          *         }
2752          *     });
2753          *
2754          *     })();
2755          *
2756          * </script><pre>
2757          *
2758          */
2759         anchor: 'left',
2760 
2761         /**
2762          * Draw the zero tick, that lies at line.point1?
2763          *
2764          * @type Boolean
2765          * @name Ticks#drawZero
2766          * @default false
2767          *
2768          * @example
2769          * var li = board.create('segment', [[-4, 2], [4, 2]]);
2770          * var t = board.create('ticks', [li], {
2771          *     drawZero: false,
2772          *     anchor: 'middle',
2773          *     drawLabels: true,
2774          *     minorTicks: 0,
2775          *     label: {
2776          *         anchorX: 'middle',
2777          *         anchorY: 'top',
2778          *         offset: [0, -5]
2779          *     }
2780          * });
2781          *
2782          * var li2 = board.create('segment', [[-4, -2], [4, -2]]);
2783          * var t2 = board.create('ticks', [li2], {
2784          *     drawZero: true,
2785          *     anchor: 'middle',
2786          *     drawLabels: true,
2787          *     minorTicks: 0,
2788          *     label: {
2789          *         anchorX: 'middle',
2790          *         anchorY: 'top',
2791          *         offset: [0, -5]
2792          *     }
2793          * });
2794          *
2795          * </pre><div id="JXG91584dc4-0ca8-4b3e-841c-c877f2ccdcf1" class="jxgbox" style="width: 300px; height: 300px;"></div>
2796          * <script type="text/javascript">
2797          *     (function() {
2798          *         var board = JXG.JSXGraph.initBoard('JXG91584dc4-0ca8-4b3e-841c-c877f2ccdcf1',
2799          *             {boundingbox: [-8, 8, 8,-8], axis: false, showcopyright: false, shownavigation: false});
2800          *     var li = board.create('segment', [[-4, 2], [4, 2]]);
2801          *     var t = board.create('ticks', [li], {
2802          *         drawZero: false,
2803          *         anchor: 'middle',
2804          *         drawLabels: true,
2805          *         minorTicks: 0,
2806          *         label: {
2807          *             anchorX: 'middle',
2808          *             anchorY: 'top',
2809          *             offset: [0, -5]
2810          *         }
2811          *     });
2812          *
2813          *     var li2 = board.create('segment', [[-4, -2], [4, -2]]);
2814          *     var t2 = board.create('ticks', [li2], {
2815          *         drawZero: true,
2816          *         anchor: 'middle',
2817          *         drawLabels: true,
2818          *         minorTicks: 0,
2819          *         label: {
2820          *             anchorX: 'middle',
2821          *             anchorY: 'top',
2822          *             offset: [0, -5]
2823          *         }
2824          *     });
2825          *
2826          *     })();
2827          *
2828          * </script><pre>
2829          *
2830          */
2831         drawZero: false,
2832 
2833         /**
2834          * Let JSXGraph determine the distance between ticks automatically.
2835          * If <tt>true</tt>, the attribute <tt>ticksDistance</tt> is ignored.
2836          * The distance between ticks is affected by the size of the board and
2837          * the attribute <tt>minTicksDistance</tt> (in pixel).
2838          *
2839          * @type Boolean
2840          * @name Ticks#insertTicks
2841          * @see Ticks#ticksDistance
2842          * @see Ticks#minTicksDistance
2843          * @default false
2844          * @example
2845          * // Create an axis providing two coord pairs.
2846          *   var p1 = board.create('point', [0, 0]);
2847          *   var p2 = board.create('point', [50, 25]);
2848          *   var l1 = board.create('line', [p1, p2]);
2849          *   var t = board.create('ticks', [l1], {
2850          *      insertTicks: true,
2851          *      majorHeight: -1,
2852          *      label: {
2853          *          offset: [4, -9]
2854          *      },
2855          *      drawLabels: true
2856          *  });
2857          * </pre><div class="jxgbox" id="JXG2f6fb842-40bd-4223-aa28-3e9369d2097f" style="width: 300px; height: 300px;"></div>
2858          * <script type="text/javascript">
2859          * (function () {
2860          *   var board = JXG.JSXGraph.initBoard('JXG2f6fb842-40bd-4223-aa28-3e9369d2097f', {
2861          *     boundingbox: [-100, 70, 70, -100], axis: true, showcopyright: false, shownavigation: true});
2862          *   var p1 = board.create('point', [0, 0]);
2863          *   var p2 = board.create('point', [50, 25]);
2864          *   var l1 = board.create('line', [p1, p2]);
2865          *   var t = board.create('ticks', [l1], {insertTicks: true, majorHeight: -1, label: {offset: [4, -9]}, drawLabels: true});
2866          * })();
2867          * </script><pre>
2868          */
2869         insertTicks: false,
2870 
2871         /**
2872          * Minimum distance in pixel of equidistant ticks in case insertTicks==true.
2873          * @name Ticks#minTicksDistance
2874          * @type Number
2875          * @default 10
2876          * @see Ticks#insertTicks
2877          */
2878         minTicksDistance: 10,
2879 
2880         /**
2881          * Total height of a minor tick. If negative the full height of the board is taken.
2882          *
2883          * @type Number
2884          * @name Ticks#minorHeight
2885          * @default 4
2886          */
2887         minorHeight: 4,
2888 
2889         /**
2890          * Total height of a major tick. If negative the full height of the board is taken.
2891          *
2892          * @type Number
2893          * @name Ticks#majorHeight
2894          * @default 10
2895          */
2896         majorHeight: 10,
2897 
2898         /**
2899          * Decides in which direction minor ticks are visible. Possible values are either the constants
2900          * 0=false or 1=true or a function returning 0 or 1.
2901          *
2902          * In case of [0,1] the tick is only visible to the right of the line. In case of
2903          * [1,0] the tick is only visible to the left of the line.
2904          *
2905          * @type Array
2906          * @name Ticks#tickEndings
2907          * @see Ticks#majorTickEndings
2908          * @default [1, 1]
2909          */
2910         tickEndings: [1, 1],
2911 
2912         /**
2913          * Decides in which direction major ticks are visible. Possible values are either the constants
2914          * 0=false or 1=true or a function returning 0 or 1.
2915          *
2916          * In case of [0,1] the tick is only visible to the right of the line. In case of
2917          * [1,0] the tick is only visible to the left of the line.
2918          *
2919         * @example
2920         *         var board = JXG.JSXGraph.initBoard("jxgbox", {
2921         *             boundingbox: [-5, 5, 5, -5],
2922         *             axis: true,
2923         *             defaultAxes: {
2924         *                 x: {
2925         *                     ticks: {
2926         *                         majorTickEndings: [1, 0],
2927         *                         ignoreInfiniteTickEndings: false
2928         *                     }
2929         *                 },
2930         *                 y: {
2931         *                     ticks: {
2932         *                         majorTickEndings: [0, 1],
2933         *                         ignoreInfiniteTickEndings: false
2934         *                     }
2935         *                 }
2936         *             }
2937         *         });
2938         *
2939         *         var p = board.create('point', [1, 1]);
2940         *         var l = board.create('line', [1, -1, 1]);
2941         *
2942         * </pre><div id="JXGf9ccb731-7a73-44d1-852e-f9c9c405a9d1" class="jxgbox" style="width: 300px; height: 300px;"></div>
2943         * <script type="text/javascript">
2944         *     (function() {
2945         *         var board = JXG.JSXGraph.initBoard('JXGf9ccb731-7a73-44d1-852e-f9c9c405a9d1',
2946         *             {   showcopyright: false, shownavigation: false,
2947         *                 boundingbox: [-5, 5, 5, -5],
2948         *                 axis: true,
2949         *                 defaultAxes: {
2950         *                     x: {
2951         *                         ticks: {
2952         *                             majorTickEndings: [1, 0],
2953         *                             ignoreInfiniteTickEndings: false
2954         *                         }
2955         *                     },
2956         *                     y: {
2957         *                         ticks: {
2958         *                             majorTickEndings: [0, 1],
2959         *                             ignoreInfiniteTickEndings: false
2960         *                         }
2961         *                     }
2962         *                 }
2963         *             });
2964         *
2965         *             var p = board.create('point', [1, 1]);
2966         *             var l = board.create('line', [1, -1, 1]);
2967         *
2968         *     })();
2969         *
2970         * </script><pre>
2971         *
2972         * @type Array
2973          * @name Ticks#majorTickEndings
2974          * @see Ticks#tickEndings
2975          * @see Ticks#ignoreInfiniteTickEndings
2976          * @default [1, 1]
2977          */
2978         majorTickEndings: [1, 1],
2979 
2980         /**
2981          * If true, ignore the tick endings attribute for infinite (full height) ticks.
2982          * This affects major and minor ticks.
2983          *
2984          * @type Boolean
2985          * @name Ticks#ignoreInfiniteTickEndings
2986          * @see Ticks#tickEndings
2987          * @see Ticks#majorTickEndings
2988          * @default true
2989          */
2990         ignoreInfiniteTickEndings: true,
2991 
2992         /**
2993          * The number of minor ticks between two major ticks.
2994          * @type Number
2995          * @name Ticks#minorTicks
2996          * @default 4
2997          */
2998         minorTicks: 4,
2999 
3000         /**
3001          * By default, i.e. if ticksPerLabel==false, labels are generated for major ticks, only.
3002          * If ticksPerLabel is set to a(n integer) number, this denotes the number of minor ticks
3003          * between two labels.
3004          *
3005          * @type {Number|Boolean}
3006          * @name Ticks#ticksPerLabel
3007          * @default false
3008          *
3009          * @example
3010          * const board = JXG.JSXGraph.initBoard('jxgbox', {
3011          *     boundingbox: [-4, 4, 4, -4],
3012          *     axis: true,
3013          *     defaultAxes: {
3014          *         x: {
3015          *             ticks: {
3016          *                 minorTicks: 7,
3017          *                 ticksPerLabel: 4,
3018          *                 minorHeight: 20,
3019          *             }
3020          *         },
3021          *         y: {
3022          *             ticks: {
3023          *                 minorTicks: 3,
3024          *                 ticksPerLabel: 2,
3025          *                 minorHeight: 20
3026          *             }
3027          *         }
3028          *     }
3029          * });
3030          *
3031          * </pre><div id="JXGbc45a421-c867-4b0a-9b8d-2b2576020690" class="jxgbox" style="width: 300px; height: 300px;"></div>
3032          * <script type="text/javascript">
3033          *     (function() {
3034          *         var board = JXG.JSXGraph.initBoard('JXGbc45a421-c867-4b0a-9b8d-2b2576020690',
3035          *             {showcopyright: false, shownavigation: false,
3036          *              boundingbox: [-4, 4, 4, -4],
3037          *         axis: true,
3038          *         defaultAxes: {
3039          *             x: {
3040          *                 ticks: {
3041          *                     minorTicks: 7,
3042          *                     ticksPerLabel: 4,
3043          *                     minorHeight: 20,
3044          *                 }
3045          *             },
3046          *             y: {
3047          *                 ticks: {
3048          *                     minorTicks: 3,
3049          *                     ticksPerLabel: 2,
3050          *                     minorHeight: 20
3051          *                 }
3052          *             }
3053          *         }
3054          *     });
3055          *     })();
3056          *
3057          * </script><pre>
3058          */
3059         ticksPerLabel: false,
3060 
3061         /**
3062          * Scale the ticks but not the tick labels.
3063          * @type Number
3064          * @default 1
3065          * @name Ticks#scale
3066          * @see Ticks#scaleSymbol
3067          *
3068          * @example
3069          * const board = JXG.JSXGraph.initBoard('jxgbox', { boundingBox: [-10, 10, 10, -10], axis: true,
3070          *     defaultAxes: {
3071          *         x : {
3072          *                 margin: -4,
3073          *                 ticks: {
3074          *                     minTicksDistance: 0,
3075          *                     minorTicks:4,
3076          *                     ticksDistance: 3,
3077          *                     scale: Math.PI,
3078          *                     scaleSymbol: 'π',
3079          *                     insertTicks: true
3080          *                 }
3081          *              },
3082          *         y : {}
3083          *     }
3084          * });
3085          *
3086          * </pre><div id="JXG23bfda5d-4a85-4469-a552-aa9b4cf62b4a" class="jxgbox" style="width: 300px; height: 300px;"></div>
3087          * <script type="text/javascript">
3088          *     (function() {
3089          *         var board = JXG.JSXGraph.initBoard('JXG23bfda5d-4a85-4469-a552-aa9b4cf62b4a',
3090          *             {boundingbox: [-10, 10, 10, -10], axis: true, showcopyright: false, shownavigation: false,
3091          *         defaultAxes: {
3092          *             x : {
3093          *                     margin: -4,
3094          *                     ticks: {
3095          *                         minTicksDistance: 0,
3096          *                         minorTicks:4,
3097          *                         ticksDistance: 3,
3098          *                         scale: Math.PI,
3099          *                         scaleSymbol: 'π',
3100          *                         insertTicks: true
3101          *                     }
3102          *                  },
3103          *             y : {
3104          *                  }
3105          *         }
3106          *     });
3107          *
3108          *     })();
3109          *
3110          * </script><pre>
3111          */
3112         scale: 1,
3113 
3114         /**
3115          * A string that is appended to every tick, used to represent the scale
3116          * factor given in {@link Ticks#scale}.
3117          *
3118          * @type String
3119          * @default ''
3120          * @name Ticks#scaleSymbol
3121          * @see Ticks#scale
3122          */
3123         scaleSymbol: '',
3124 
3125         /**
3126          * User defined labels for special ticks. Instead of the i-th tick's position, the i-th string stored in this array
3127          * is shown. If the number of strings in this array is less than the number of special ticks, the tick's position is
3128          * shown as a fallback.
3129          *
3130          * @type Array
3131          * @name Ticks#labels
3132          * @default []
3133          */
3134         labels: [],
3135 
3136         /**
3137          * The maximum number of characters a tick label can use.
3138          *
3139          * @type Number
3140          * @name Ticks#maxLabelLength
3141          * @see Ticks#digits
3142          * @default 5
3143          */
3144         maxLabelLength: 5,
3145 
3146         /**
3147          * If a label exceeds {@link Ticks#maxLabelLength} this determines the precision used to shorten the tick label.
3148          * Deprecated! Replaced by the attribute <tt>digits</tt>.
3149          *
3150          * @type Number
3151          * @name Ticks#precision
3152          * @see Ticks#maxLabelLength
3153          * @see Ticks#digits
3154          * @deprecated
3155          * @default 3
3156          */
3157         precision: 3,
3158 
3159         /**
3160          * If a label exceeds {@link Ticks#maxLabelLength} this determines the number of digits used to shorten the tick label.
3161          *
3162          * @type Number
3163          * @name Ticks#digits
3164          * @see Ticks#maxLabelLength
3165          * @deprecated
3166          * @default 3
3167          */
3168         digits: 3,
3169 
3170         /**
3171          * The default distance (in user coordinates, not  pixels) between two ticks. Please be aware that this value does not have
3172          * to be used if {@link Ticks#insertTicks} is set to true.
3173          *
3174          * @type Number
3175          * @name Ticks#ticksDistance
3176          * @see Ticks#insertTicks
3177          * @default 1
3178          */
3179         ticksDistance: 1,
3180 
3181         /**
3182          * Tick face for major ticks of finite length.  By default (face: '|') this is a straight line.
3183          * Possible other values are '<' and '>'. These faces are used in
3184          * {@link JXG.Hatch} for hatch marking parallel lines.
3185          * @type String
3186          * @name Ticks#face
3187          * @see hatch
3188          * @default '|'
3189          * @example
3190          *   var p1 = board.create('point', [0, 3]);
3191          *   var p2 = board.create('point', [1, 3]);
3192          *   var l1 = board.create('line', [p1, p2]);
3193          *   var t = board.create('ticks', [l1], {ticksDistance: 2, face: '>', minorTicks: 0});
3194          *
3195          * </pre><div id="JXG950a568a-1264-4e3a-b61d-b6881feecf4b" class="jxgbox" style="width: 300px; height: 300px;"></div>
3196          * <script type="text/javascript">
3197          *     (function() {
3198          *         var board = JXG.JSXGraph.initBoard('JXG950a568a-1264-4e3a-b61d-b6881feecf4b',
3199          *             {boundingbox: [-8, 8, 8,-8], axis: true, showcopyright: false, shownavigation: false});
3200          *       var p1 = board.create('point', [0, 3]);
3201          *       var p2 = board.create('point', [1, 3]);
3202          *       var l1 = board.create('line', [p1, p2]);
3203          *       var t = board.create('ticks', [l1], {ticksDistance: 2, face: '>', minorTicks: 0});
3204          *
3205          *     })();
3206          *
3207          * </script><pre>
3208          *
3209          */
3210         face: '|',
3211 
3212         strokeOpacity: 1,
3213         strokeWidth: 1,
3214         strokeColor: '#000000',
3215         highlightStrokeColor: '#888888',
3216         fillColor: 'none',
3217         highlightFillColor: 'none',
3218         visible: 'inherit',
3219 
3220         /**
3221          * Whether line boundaries should be included or not in the lower and upper bounds when
3222          * creating ticks. In mathematical terms: if a segment considered as interval is open (includeBoundaries:false)
3223          * or closed (includeBoundaries:true). In case of open interval, the interval is shortened by a small
3224          * ε.
3225          *
3226          * @type Boolean
3227          * @name Ticks#includeBoundaries
3228          * @default false
3229          *
3230          * @example
3231          * var li = board.create('segment', [[-4, 2], [4, 2]]);
3232          * var t = board.create('ticks', [li], {
3233          *     includeBoundaries: true,
3234          *     drawZero: true,
3235          *     anchor: 'middle',
3236          *     drawLabels: true,
3237          *     minorTicks: 0,
3238          *     label: {
3239          *         anchorX: 'middle',
3240          *         anchorY: 'top',
3241          *         offset: [0, -5]
3242          *     }
3243          * });
3244          *
3245          * var li2 = board.create('segment', [[-4, -2], [4, -2]]);
3246          * var t2 = board.create('ticks', [li2], {
3247          *     includeBoundaries: false,
3248          *     drawZero: true,
3249          *     anchor: 'middle',
3250          *     drawLabels: true,
3251          *     minorTicks: 0,
3252          *     label: {
3253          *         anchorX: 'middle',
3254          *         anchorY: 'top',
3255          *         offset: [0, -5]
3256          *     }
3257          * });
3258          *
3259          * </pre><div id="JXG08e79180-7c9a-4638-bb72-8aa7fd8a8b96" class="jxgbox" style="width: 300px; height: 300px;"></div>
3260          * <script type="text/javascript">
3261          *     (function() {
3262          *         var board = JXG.JSXGraph.initBoard('JXG08e79180-7c9a-4638-bb72-8aa7fd8a8b96',
3263          *             {boundingbox: [-8, 8, 8,-8], axis: false, showcopyright: false, shownavigation: false});
3264          *     var li = board.create('segment', [[-4, 2], [4, 2]]);
3265          *     var t = board.create('ticks', [li], {
3266          *         includeBoundaries: true,
3267          *         drawZero: true,
3268          *         anchor: 'middle',
3269          *         drawLabels: true,
3270          *         minorTicks: 0,
3271          *         label: {
3272          *             anchorX: 'middle',
3273          *             anchorY: 'top',
3274          *             offset: [0, -5]
3275          *         }
3276          *     });
3277          *
3278          *     var li2 = board.create('segment', [[-4, -2], [4, -2]]);
3279          *     var t2 = board.create('ticks', [li2], {
3280          *         includeBoundaries: false,
3281          *         drawZero: true,
3282          *         anchor: 'middle',
3283          *         drawLabels: true,
3284          *         minorTicks: 0,
3285          *         label: {
3286          *             anchorX: 'middle',
3287          *             anchorY: 'top',
3288          *             offset: [0, -5]
3289          *         }
3290          *     });
3291          *
3292          *     })();
3293          *
3294          * </script><pre>
3295          *
3296          */
3297         includeBoundaries: false,
3298 
3299         /**
3300          * Set the ticks type.
3301          * Possible values are 'linear' or 'polar'.
3302          *
3303          * @type String
3304          * @name Ticks#type
3305          * @default 'linear'
3306          *
3307          * @example
3308          * var ax = board.create('axis', [[0,0], [1,0]], {
3309          *              needsRegularUpdate: false,
3310          *              ticks: {
3311          *                      type: 'linear',
3312          *                      majorHeight: 0
3313          *                  }
3314          *              });
3315          * var ay = board.create('axis', [[0,0], [0,1]], {
3316          *              ticks: {
3317          *                      type: 'polar'
3318          *                  }
3319          *              });
3320          *
3321          * var p = board.create('point', [3, 2]);
3322          *
3323          * </pre><div id="JXG9ab0b50c-b486-4f95-9698-c0dd276155ff" class="jxgbox" style="width: 300px; height: 300px;"></div>
3324          * <script type="text/javascript">
3325          *     (function() {
3326          *         var board = JXG.JSXGraph.initBoard('JXG9ab0b50c-b486-4f95-9698-c0dd276155ff',
3327          *             {boundingbox: [-8, 8, 8,-8], axis: false, showcopyright: false, shownavigation: false});
3328          *     var ax = board.create('axis', [[0,0], [1,0]], { needsRegularUpdate: false, ticks: { type: 'linear', majorHeight: 0}});
3329          *     var ay = board.create('axis', [[0,0], [0,1]], { ticks: { type: 'polar'}});
3330          *
3331          *     var p = board.create('point', [3, 2]);
3332          *
3333          *     })();
3334          *
3335          * </script><pre>
3336          *
3337          */
3338         type: 'linear',
3339 
3340         /**
3341          * Internationalization support for ticks labels.
3342          * @name intl
3343          * @memberOf Ticks.prototype
3344          * @default <pre>{
3345          *    enabled: 'inherit',
3346          *    options: {}
3347          * }</pre>
3348          * @see JXG.Board#intl
3349          * @see Text#intl
3350          *
3351                   * @example
3352          * // Here, locale is disabled in general, but enabled for the horizontal
3353          * // axis and the infobox.
3354          * const board = JXG.JSXGraph.initBoard(BOARDID, {
3355          *     boundingbox: [-0.5, 0.5, 0.5, -0.5],
3356          *     intl: {
3357          *         enabled: false,
3358          *         locale: 'de-DE'
3359          *     },
3360          *     keepaspectratio: true,
3361          *     axis: true,
3362          *     defaultAxes: {
3363          *         x: {
3364          *             ticks: {
3365          *                 intl: {
3366          *                         enabled: true,
3367          *                         options: {
3368          *                             style: 'unit',
3369          *                             unit: 'kilometer-per-hour',
3370          *                             unitDisplay: 'narrow'
3371          *                         }
3372          *                 }
3373          *             }
3374          *         },
3375          *         y: {
3376          *             ticks: {
3377          *             }
3378          *         }
3379          *     },
3380          *     infobox: {
3381          *         fontSize: 12,
3382          *         intl: {
3383          *             enabled: true,
3384          *             options: {
3385          *                 minimumFractionDigits: 4,
3386          *                 maximumFractionDigits: 5
3387          *             }
3388          *         }
3389          *     }
3390          * });
3391          *
3392          * var p = board.create('point', [0.1, 0.1], {});
3393          *
3394          * </pre><div id="JXG820b60ff-b453-4be9-a9d5-06c0342a9dbe" class="jxgbox" style="width: 600px; height: 300px;"></div>
3395          * <script type="text/javascript">
3396          *     (function() {
3397          *     var board = JXG.JSXGraph.initBoard('JXG820b60ff-b453-4be9-a9d5-06c0342a9dbe', {
3398          *         boundingbox: [-0.5, 0.5, 0.5, -0.5], showcopyright: false, shownavigation: false,
3399          *         intl: {
3400          *             enabled: false,
3401          *             locale: 'de-DE'
3402          *         },
3403          *         keepaspectratio: true,
3404          *         axis: true,
3405          *         defaultAxes: {
3406          *             x: {
3407          *                 ticks: {
3408          *                     intl: {
3409          *                             enabled: true,
3410          *                             options: {
3411          *                                 style: 'unit',
3412          *                                 unit: 'kilometer-per-hour',
3413          *                                 unitDisplay: 'narrow'
3414          *                             }
3415          *                     }
3416          *                 }
3417          *             },
3418          *             y: {
3419          *                 ticks: {
3420          *                 }
3421          *             }
3422          *         },
3423          *         infobox: {
3424          *             fontSize: 12,
3425          *             intl: {
3426          *                 enabled: true,
3427          *                 options: {
3428          *                     minimumFractionDigits: 4,
3429          *                     maximumFractionDigits: 5
3430          *                 }
3431          *             }
3432          *         }
3433          *     });
3434          *
3435          *     var p = board.create('point', [0.1, 0.1], {});
3436          *
3437          *     })();
3438          *
3439          * </script><pre>
3440          *
3441          */
3442         intl: {
3443             enabled: 'inherit',
3444             options: {}
3445         },
3446 
3447         // TODO implementation and documentation
3448         minorTicksInArrow: false,
3449         majorTicksInArrow: true,
3450         labelInArrow: true,
3451         minorTicksInMargin: false,
3452         majorTicksInMargin: true,
3453         labelInMargin: true
3454 
3455         // close the meta tag
3456         /**#@-*/
3457     },
3458 
3459     /*
3460      *  Generic options used by {@link JXG.Hatch}
3461      */
3462     hatch: {
3463         drawLabels: false,
3464         drawZero: true,
3465         majorHeight: 20,
3466         anchor: 'middle',
3467         face: '|',
3468         strokeWidth: 2,
3469         strokeColor: Color.palette.blue,
3470         /**
3471          * The default distance (in user coordinates, not  pixels) between two hatch symbols.
3472          *
3473          * @type Number
3474          * @name Hatch#ticksDistance
3475          * @default 0.2
3476          */
3477         ticksDistance: 0.2
3478     },
3479 
3480     /**
3481      * Precision options, defining how close a pointer device (mouse, finger, pen) has to be
3482      * to an object such that the object is highlighted or can be dragged.
3483      * These values are board-wide and can be overwritten for individual elements by
3484      * changing their precision attribute.
3485      *
3486      * The default values are
3487      * <pre>
3488      * JXG.Options.precision: {
3489      *   touch: 30,
3490      *   touchMax: 100,
3491      *   mouse: 4,
3492      *   pen: 4,
3493      *   epsilon: 0.0001,
3494      *   hasPoint: 4
3495      * }
3496      * </pre>
3497      *
3498      * @type Object
3499      * @name JXG.Options#precision
3500      * @see JXG.GeometryElement#precision
3501      */
3502     precision: {
3503         touch: 30,
3504         touchMax: 100,
3505         mouse: 4,
3506         pen: 4,
3507         epsilon: 0.0001, // Unused
3508         hasPoint: 4
3509     },
3510 
3511     /**
3512      * Default ordering of the layers.
3513      * The numbering starts from 0 and the highest layer number is numlayers-1.
3514      *
3515      * The default values are
3516      * <pre>
3517      * JXG.Options.layer: {
3518      *   numlayers: 20, // only important in SVG
3519      *   text: 9,
3520      *   point: 9,
3521      *   glider: 9,
3522      *   arc: 8,
3523      *   line: 7,
3524      *   circle: 6,
3525      *   curve: 5,
3526      *   turtle: 5,
3527      *   polygon: 3,
3528      *   sector: 3,
3529      *   angle: 3,
3530      *   integral: 3,
3531      *   axis: 2,
3532      *   ticks: 2,
3533      *   grid: 1,
3534      *   image: 0,
3535      *   trace: 0
3536      * }
3537      * </pre>
3538      * @type Object
3539      * @name JXG.Options#layer
3540      */
3541     layer: {
3542         numlayers: 20, // only important in SVG
3543         unused9: 19,
3544         unused8: 18,
3545         unused7: 17,
3546         unused6: 16,
3547         unused5: 15,
3548         unused4: 14,
3549         unused3: 13,
3550         unused2: 12,
3551         unused1: 11,
3552         unused0: 10,
3553         text: 9,
3554         point: 9,
3555         glider: 9,
3556         arc: 8,
3557         line: 7,
3558         circle: 6,
3559         curve: 5,
3560         turtle: 5,
3561         polygon: 3,
3562         sector: 3,
3563         angle: 3,
3564         integral: 3,
3565         axis: 2,
3566         ticks: 2,
3567         grid: 1,
3568         image: 0,
3569         trace: 0
3570     },
3571 
3572     /* special angle options */
3573     angle: {
3574         /**#@+
3575          * @visprop
3576          */
3577 
3578         withLabel: true,
3579 
3580         /**
3581          * Radius of the sector, displaying the angle.
3582          * The radius can be given as number (in user coordinates)
3583          * or as string 'auto'. In the latter case, the angle
3584          * is set to an value between 20 and 50 px.
3585          *
3586          * @type {Number|String}
3587          * @name Angle#radius
3588          * @default 'auto'
3589          * @visprop
3590          */
3591         radius: 'auto',
3592 
3593         /**
3594          * Display type of the angle field. Possible values are
3595          * 'sector' or 'sectordot' or 'square' or 'none'.
3596          *
3597          * @type String
3598          * @default 'sector'
3599          * @name Angle#type
3600          * @visprop
3601          */
3602         type: 'sector',
3603 
3604         /**
3605          * Display type of the angle field in case of a right angle. Possible values are
3606          * 'sector' or 'sectordot' or 'square' or 'none'.
3607          *
3608          * @type String
3609          * @default square
3610          * @name Angle#orthoType
3611          * @see Angle#orthoSensitivity
3612          * @visprop
3613          */
3614         orthoType: 'square',
3615 
3616         /**
3617          * Sensitivity (in degrees) to declare an angle as right angle.
3618          * If the angle measure is inside this distance from a rigth angle, the orthoType
3619          * of the angle is used for display.
3620          *
3621          * @type Number
3622          * @default 1.0
3623          * @name Angle#orthoSensitivity
3624          * @see Angle#orthoType
3625          * @visprop
3626          */
3627         orthoSensitivity: 1.0,
3628 
3629         fillColor: Color.palette.orange,
3630         highlightFillColor: Color.palette.orange,
3631         strokeColor: Color.palette.orange,
3632         // fillColor: '#ff7f00',
3633         // highlightFillColor: '#ff7f00',
3634         // strokeColor: '#ff7f00',
3635 
3636         fillOpacity: 0.3,
3637         highlightFillOpacity: 0.3,
3638 
3639         /**
3640          * @name Angle#radiuspoint
3641          * @type Object
3642          * @deprecated
3643          */
3644         radiuspoint: {
3645             withLabel: false,
3646             visible: false,
3647             name: ''
3648         },
3649 
3650         /**
3651          * @name Angle#pointsquare
3652          * @type Object
3653          * @deprecated
3654          */
3655         pointsquare: {
3656             withLabel: false,
3657             visible: false,
3658             name: ''
3659         },
3660 
3661         /**
3662          * Attributes of the dot point marking right angles.
3663          * @name Angle#dot
3664          * @type Object
3665          * @default <tt>{face: 'o', size: 2}</tt>
3666          */
3667         dot: {
3668             visible: false,
3669             strokeColor: 'none',
3670             fillColor: '#000000',
3671             size: 2,
3672             face: 'o',
3673             withLabel: false,
3674             name: ''
3675         },
3676 
3677         label: {
3678             position: 'top',
3679             offset: [0, 0],
3680             strokeColor: Color.palette.blue
3681         },
3682 
3683         /**
3684          * Attributes for sub-element arc. In general, the arc will run through the first point and
3685          * thus will not have the same radius as the angle sector.
3686          *
3687          * @type Arc
3688          * @name Angle#arc
3689          * @default '{visible:false}'
3690          */
3691         arc: {
3692             visible: false,
3693             fillColor: 'none'
3694         }
3695 
3696         /**#@-*/
3697     },
3698 
3699     /* special arc options */
3700     arc: {
3701         /**#@+
3702          * @visprop
3703          */
3704 
3705         /**
3706          * Type of arc. Possible values are 'minor', 'major', and 'auto'.
3707          *
3708          * @type String
3709          * @name Arc#selection
3710          * @default 'auto'
3711          */
3712         selection: 'auto',
3713 
3714         /**
3715          * If <tt>true</tt>, moving the mouse over inner points triggers hasPoint.
3716          *
3717          * @see JXG.GeometryElement#hasPoint
3718          * @name Arc#hasInnerPoints
3719          * @type Boolean
3720          * @default false
3721          */
3722         hasInnerPoints: false,
3723 
3724         label: {
3725             anchorX: 'auto',
3726             anchorY: 'auto'
3727         },
3728         firstArrow: false,
3729         lastArrow: false,
3730         fillColor: 'none',
3731         highlightFillColor: 'none',
3732         strokeColor: Color.palette.blue,
3733         highlightStrokeColor: '#c3d9ff',
3734         useDirection: false,
3735 
3736         /**
3737          * Attributes for center point.
3738          *
3739          * @type Point
3740          * @name Arc#center
3741          */
3742         center: {
3743         },
3744 
3745         /**
3746          * Attributes for radius point.
3747          *
3748          * @type Point
3749          * @name Arc#radiusPoint
3750          */
3751         radiusPoint: {
3752         },
3753 
3754         /**
3755          * Attributes for angle point.
3756          *
3757          * @type Point
3758          * @name Arc#anglePoint
3759          */
3760         anglePoint: {
3761         }
3762 
3763         /**#@-*/
3764     },
3765 
3766     /* special arrow options */
3767     arrow: {
3768         /**#@+
3769          * @visprop
3770          */
3771 
3772         firstArrow: false,
3773 
3774         lastArrow: {
3775             type: 1,
3776             highlightSize: 6,
3777             size: 6
3778         }
3779 
3780         /**#@-*/
3781     },
3782 
3783     /* special arrowparallel options */
3784     arrowparallel: {
3785         /**#@+
3786          * @visprop
3787          */
3788 
3789         firstArrow: false,
3790 
3791         lastArrow: {
3792             type: 1,
3793             highlightSize: 6,
3794             size: 6
3795         }
3796 
3797         /**#@-*/
3798     },
3799 
3800     /* special axis options */
3801     axis: {
3802         /**#@+
3803          * @visprop
3804          */
3805 
3806         name: '',                            // By default, do not generate names for axes.
3807         needsRegularUpdate: false,           // Axes only updated after zooming and moving of the origin.
3808         strokeWidth: 1,
3809         lastArrow: {
3810             type: 1,
3811             highlightSize: 8,
3812             size: 8
3813         },
3814         strokeColor: '#666666',
3815         highlightStrokeWidth: 1,
3816         highlightStrokeColor: '#888888',
3817 
3818         /**
3819          * Is used to define the behaviour of the axis.
3820          * Settings in this attribute only have an effect if the axis is exactly horizontal or vertical.
3821          * Possible values are:
3822          * <ul>
3823          *     <li><tt>'static'</tt>: Standard behavior of the axes as know in JSXGraph.
3824          *     <li><tt>'fixed'</tt>: The axis is placed in a fixed position. Depending on the attribute <tt>anchor</tt>, it is positioned to the right or left of the edge of the board as seen from the axis with a distance defined in <tt>distanceBoarder</tt>. The axis will stay at the given position, when the user navigates through the board.
3825          *     <li><tt>'sticky'</tt>: This mixes the two settings <tt>static</tt> and <tt>fixed</tt>. When the user navigates in the board, the axis remains in the visible area (taking into account <tt>anchor</tt> and <tt>anchorDist</tt>). If the axis itself is in the visible area, the axis can be moved by navigation.
3826          * </ul>
3827          *
3828          * @type {String}
3829          * @name Axis#position
3830          * @default 'static'
3831          * @see Axis#anchor
3832          * @see Axis#anchorDist
3833          *
3834          * @example // Use navigation to see effect.
3835          *  var axis1, axis2, circle;
3836          *
3837          *  board.create('axis', [[0,0],[1,0]],{
3838          *      position: 'fixed',
3839          *      anchor: 'right',
3840          *      anchorDist: '0.1fr'
3841          *  });
3842          *
3843          *  board.create('axis', [[0,0],[0,1]], {
3844          *      position: 'fixed',
3845          *      anchor: 'left',
3846          *      anchorDist: 1
3847          *  });
3848          *
3849          * </pre><div id="JXG6dff2f81-65ce-46a3-bea0-8ce25cc1cb4a" class="jxgbox" style="width: 300px; height: 300px;"></div>
3850          * <script type="text/javascript">
3851          *     (function() {
3852          *      var board = JXG.JSXGraph.initBoard('JXG6dff2f81-65ce-46a3-bea0-8ce25cc1cb4a',
3853          *             {boundingbox: [-1, 10, 10,-1], axis: false, showcopyright: false, shownavigation: true});
3854          *
3855          *      board.create('axis', [[0,0],[1,0]],{
3856          *          position: 'fixed',
3857          *          anchor: 'right',
3858          *          anchorDist: '0.1fr'
3859          *      });
3860          *
3861          *      board.create('axis', [[0,0],[0,1]], {
3862          *          position: 'fixed',
3863          *          anchor: 'left',
3864          *          anchorDist: 1
3865          *      });
3866          *
3867          *      board.create('circle', [[5,5], 2.5]);
3868          *     })();
3869          *
3870          * </script><pre>
3871          *
3872          * @example // Use navigation to see effect.
3873          *      board.create('axis', [[0,0],[1,0]],{
3874          *          position: 'sticky',
3875          *          anchor: 'right',
3876          *          anchorDist: '0.2fr'
3877          *      });
3878          *
3879          *      board.create('axis', [[0,0],[0,1]], {
3880          *          position: 'sticky',
3881          *          anchor: 'right left',
3882          *          anchorDist: '75px'
3883          *      });
3884          *
3885          * </pre><div id="JXG42a90935-80aa-4a6b-8adf-279deef84485" class="jxgbox" style="width: 300px; height: 300px;"></div>
3886          * <script type="text/javascript">
3887          *     (function() {
3888          *          var board = JXG.JSXGraph.initBoard('JXG42a90935-80aa-4a6b-8adf-279deef84485',
3889          *             {boundingbox: [-8, 8, 8,-8], axis: false, showcopyright: false, shownavigation: true});
3890          *          board.create('axis', [[0,0],[1,0]],{
3891          *              position: 'sticky',
3892          *              anchor: 'right',
3893          *              anchorDist: '0.2fr'
3894          *          });
3895          *
3896          *          board.create('axis', [[0,0],[0,1]], {
3897          *              position: 'sticky',
3898          *              anchor: 'right left',
3899          *              anchorDist: '75px'
3900          *          });
3901          *
3902          *          board.create('functiongraph', [function(x){ return 1/(x-5) + 2;}]);
3903          *     })();
3904          *
3905          * </script><pre>
3906          *
3907          */
3908         position: 'static',
3909 
3910         /**
3911          * Position is used in cases: <tt>position=='sticky'</tt> or <tt>position=='fixed'</tt>.
3912          * Possible values are <tt>'right'</tt>, <tt>'left'</tt>, <tt>'right left'</tt>. Left and right indicate the side as seen from the axis.
3913          * It is used in combination with the attribute position to decide on which side of the board the axis should stick or be fixed.
3914          *
3915          * @type {String}
3916          * @name Axis#anchor
3917          * @default ''
3918          * @example
3919          *  board.create('axis', [[0,0],[0,1]],{
3920          *      position: 'fixed',
3921          *      anchor: 'left',
3922          *      anchorDist: 2,
3923          *      strokeColor : 'green',
3924          *      ticks: {
3925          *          majorHeight: 7,
3926          *          drawZero: true,
3927          *      }
3928          *  });
3929          *
3930          *  board.create('axis', [[0,0],[0,1]], {
3931          *      position: 'fixed',
3932          *      anchor: 'right',
3933          *      anchorDist: 2,
3934          *      strokeColor : 'blue',
3935          *      ticks: {
3936          *          majorHeight: 7,
3937          *          drawZero: true,
3938          *      }
3939          *  });
3940          *
3941          *  board.create('axis', [[0,0],[0,-1]], {
3942          *      position: 'fixed',
3943          *      anchor: 'left',
3944          *      anchorDist: 4,
3945          *      strokeColor : 'red',
3946          *      ticks:{
3947          *          majorHeight: 7,
3948          *          drawZero: true,
3949          *      }
3950          *  });
3951          *
3952          * </pre><div id="JXG11448b49-02b4-48d4-b0e0-8f06a94e909c" class="jxgbox" style="width: 300px; height: 300px;"></div>
3953          * <script type="text/javascript">
3954          *     (function() {
3955          *      var board = JXG.JSXGraph.initBoard('JXG11448b49-02b4-48d4-b0e0-8f06a94e909c',
3956          *             {boundingbox: [-8, 8, 8,-8], axis: false, showcopyright: false, shownavigation: true});
3957          *
3958          *      board.create('axis', [[0,0],[0,1]],{
3959          *          position: 'fixed',
3960          *          anchor: 'left',
3961          *          anchorDist: 4,
3962          *          strokeColor : 'green',
3963          *          ticks: {
3964          *              majorHeight: 7,
3965          *              drawZero: true,
3966          *          }
3967          *      });
3968          *
3969          *      board.create('axis', [[0,0],[0,1]], {
3970          *          position: 'fixed',
3971          *          anchor: 'right',
3972          *          anchorDist: 2,
3973          *          strokeColor : 'blue',
3974          *          ticks: {
3975          *              majorHeight: 7,
3976          *              drawZero: true,
3977          *          }
3978          *      });
3979          *
3980          *      board.create('axis', [[0,0],[0,-1]], {
3981          *          position: 'fixed',
3982          *          anchor: 'left',
3983          *          anchorDist: 4,
3984          *          strokeColor : 'red',
3985          *          ticks:{
3986          *              majorHeight: 7,
3987          *              drawZero: true,
3988          *          }
3989          *      });
3990          *
3991          *     })();
3992          *
3993          * </script><pre>
3994          */
3995         anchor: '',
3996 
3997         /**
3998          * Used to define at which distance to the edge of the board the axis should stick or be fixed.
3999          * This only has an effect if <tt>position=='sticky'</tt> or <tt>position=='fixed'</tt>.
4000          * There are the following possibilities:
4001          * <ul>
4002          *     <li>Numbers or strings which are numbers (e.g. '10') are interpreted as usrCoords.
4003          *     <li>Strings with the unit 'px' are interpreted as screen pixels.
4004          *     <li>Strings with the unit '%' or 'fr' are interpreted as a ratio to the width/height of the board. (e.g. 50% = 0.5fr)
4005          * </ul>
4006          *
4007          * @type {Number|String}
4008          * @name Axis#anchorDist
4009          * @default '10%'
4010          */
4011         anchorDist: '10%',
4012 
4013         /**
4014          * If set to true, the tick labels of the axis are automatically positioned in the narrower area between the axis and the side of the board.
4015          * Settings in this attribute only have an effect if the axis is exactly horizontal or vertical.
4016          * This option overrides <tt>offset</tt>, <tt>anchorX</tt> and <tt>anchorY</tt> of axis tick labels.
4017          *
4018          * @type {Boolean}
4019          * @name Axis#ticksAutoPos
4020          * @default false
4021          * @example
4022          * // Navigate to see an effect.
4023          * board.create('axis', [[0, 0], [1, 0]], {
4024          *     position: 'sticky',
4025          *     anchor: 'left right',
4026          *     anchorDist: '0.1',
4027          *     ticksAutoPos: true,
4028          * });
4029          *
4030          * board.create('axis', [[0, 0], [0, 1]], {
4031          *     position: 'sticky',
4032          *     anchor: 'left right',
4033          *     anchorDist: '0.1',
4034          *     ticksAutoPos: true,
4035          * });
4036          *
4037          * </pre><div id="JXG557c9b5d-e1bd-4d3b-8362-ff7a863255f3" class="jxgbox" style="width: 300px; height: 300px;"></div>
4038          * <script type="text/javascript">
4039          *     (function() {
4040          *         var board = JXG.JSXGraph.initBoard('JXG557c9b5d-e1bd-4d3b-8362-ff7a863255f3',
4041          *             {boundingbox: [-8, 8, 8,-8], axis: false, showcopyright: false, shownavigation: false});
4042          *
4043          *     board.create('axis', [[0, 0], [1, 0]], {
4044          *         position: 'sticky',
4045          *         anchor: 'left right',
4046          *         anchorDist: '0.1',
4047          *         ticksAutoPos: true,
4048          *     });
4049          *
4050          *     board.create('axis', [[0, 0], [0, 1]], {
4051          *         position: 'sticky',
4052          *         anchor: 'left right',
4053          *         anchorDist: '0.1',
4054          *         ticksAutoPos: true,
4055          *     });
4056          *
4057          *     })();
4058          *
4059          * </script><pre>
4060          */
4061         ticksAutoPos: false,
4062 
4063         /**
4064          * Defines, when <tt>ticksAutoPos</tt> takes effect.
4065          * There are the following possibilities:
4066          * <ul>
4067          *     <li>Numbers or strings which are numbers (e.g. '10') are interpreted as usrCoords.
4068          *     <li>Strings with the unit 'px' are interpreted as screen pixels.
4069          *     <li>Strings with the unit '%' or 'fr' are interpreted as a ratio to the width/height of the board. (e.g. 50% = 0.5fr)
4070          * </ul>
4071          *
4072          * @type {Number|String}
4073          * @name Axis#ticksAutoPosThreshold
4074          * @default '5%'
4075          */
4076         ticksAutoPosThreshold: '5%',
4077 
4078         /**
4079          * Show / hide ticks.
4080          *
4081          * Deprecated. Suggested alternative is "ticks: {visible: false}"
4082          *
4083          * @type Boolean
4084          * @name Axis#withTicks
4085          * @default true
4086          * @deprecated
4087          */
4088         withTicks: true,
4089         straightFirst: true,
4090         straightLast: true,
4091         margin: -4,
4092         withLabel: false,
4093         scalable: false,
4094 
4095         /**
4096          * Attributes for ticks of the axis.
4097          *
4098          * @type Ticks
4099          * @name Axis#ticks
4100          */
4101         ticks: {
4102             label: {
4103                 offset: [4, -12 + 3],     // This seems to be a good offset for 12 point fonts
4104                 parse: false,
4105                 needsRegularUpdate: false,
4106                 display: 'internal',
4107                 visible: 'inherit',
4108                 layer: 9
4109             },
4110             visible: 'inherit',
4111             needsRegularUpdate: false,
4112             strokeWidth: 1,
4113             strokeColor: '#666666',
4114             highlightStrokeColor: '#888888',
4115             drawLabels: true,
4116             drawZero: false,
4117             insertTicks: true,
4118             minTicksDistance: 5,
4119             minorHeight: 10,          // if <0: full width and height
4120             majorHeight: -1,          // if <0: full width and height
4121             tickEndings: [0, 1],
4122             majorTickEndings: [1, 1],
4123             minorTicks: 4,
4124             ticksDistance: 1,         // TODO doc
4125             strokeOpacity: 0.25
4126         },
4127 
4128         /**
4129          * Attributes for first point the axis.
4130          *
4131          * @type Point
4132          * @name Axis#point1
4133          */
4134         point1: {                  // Default values for point1 if created by line
4135             needsRegularUpdate: false,
4136             visible: false
4137         },
4138 
4139         /**
4140          * Attributes for second point the axis.
4141          *
4142          * @type Point
4143          * @name Axis#point2
4144          */
4145         point2: {                  // Default values for point2 if created by line
4146             needsRegularUpdate: false,
4147             visible: false
4148         },
4149 
4150         tabindex: -1,
4151 
4152         /**
4153          * Attributes for the axis label.
4154          *
4155          * @type Label
4156          * @name Axis#label
4157          */
4158         label: {
4159             position: 'lft',
4160             offset: [10, 10]
4161         }
4162 
4163         /**#@-*/
4164     },
4165 
4166     /* special options for angle bisector of 3 points */
4167     bisector: {
4168         /**#@+
4169          * @visprop
4170          */
4171 
4172         strokeColor: '#000000', // Bisector line
4173 
4174         /**
4175          * Attributes for the helper point of the bisector.
4176          *
4177          * @type Point
4178          * @name Bisector#point
4179          */
4180         point: {               // Bisector point
4181             visible: false,
4182             fixed: false,
4183             withLabel: false,
4184             name: ''
4185         }
4186 
4187         /**#@-*/
4188     },
4189 
4190     /* special options for the 2 bisectors of 2 lines */
4191     bisectorlines: {
4192         /**#@+
4193          * @visprop
4194          */
4195 
4196         /**
4197          * Attributes for first line.
4198          *
4199          * @type Line
4200          * @name Bisectorlines#line1
4201          */
4202         line1: {               //
4203             strokeColor: '#000000'
4204         },
4205 
4206         /**
4207          * Attributes for second line.
4208          *
4209          * @type Line
4210          * @name Bisectorlines#line2
4211          */
4212         line2: {               //
4213             strokeColor: '#000000'
4214         }
4215 
4216         /**#@-*/
4217     },
4218 
4219     /* special options for boxplot curves */
4220     boxplot: {
4221         /**#@+
4222          * @visprop
4223          */
4224 
4225         /**
4226          *  Direction of the box plot: 'vertical' or 'horizontal'
4227          *
4228          * @type String
4229          * @name Boxplot#dir
4230          * @default 'vertical'
4231          */
4232         dir: 'vertical',
4233 
4234         /**
4235          * Relative width of the maximum and minimum quantile
4236          *
4237          * @type Number
4238          * @name Boxplot#smallWidth
4239          * @default 0.5
4240          */
4241         smallWidth: 0.5,
4242 
4243         strokeWidth: 2,
4244         strokeColor: Color.palette.blue,
4245         fillColor: Color.palette.blue,
4246         fillOpacity: 0.2,
4247         highlightStrokeWidth: 2,
4248         highlightStrokeColor: Color.palette.blue,
4249         highlightFillColor: Color.palette.blue,
4250         highlightFillOpacity: 0.1
4251 
4252         /**#@-*/
4253     },
4254 
4255     /* special button options */
4256     button: {
4257         /**#@+
4258          * @visprop
4259          */
4260 
4261         /**
4262          * Control the attribute "disabled" of the HTML button.
4263          *
4264          * @name disabled
4265          * @memberOf Button.prototype
4266          *
4267          * @type Boolean
4268          * @default false
4269          */
4270         disabled: false,
4271 
4272         display: 'html'
4273 
4274         /**#@-*/
4275     },
4276 
4277     /* special cardinal spline options */
4278     cardinalspline: {
4279         /**#@+
4280          * @visprop
4281          */
4282 
4283         /**
4284          * Controls if the data points of the cardinal spline when given as
4285          * arrays should be converted into {@link JXG.Points}.
4286          *
4287          * @name createPoints
4288          * @memberOf Cardinalspline.prototype
4289          *
4290          * @see Cardinalspline#points
4291          *
4292          * @type Boolean
4293          * @default true
4294          */
4295         createPoints: true,
4296 
4297         /**
4298          * If set to true, the supplied coordinates are interpreted as
4299          * [[x_0, y_0], [x_1, y_1], p, ...].
4300          * Otherwise, if the data consists of two arrays of equal length,
4301          * it is interpreted as
4302          * [[x_o x_1, ..., x_n], [y_0, y_1, ..., y_n]]
4303          *
4304          * @name isArrayOfCoordinates
4305          * @memberOf Cardinalspline.prototype
4306          * @type Boolean
4307          * @default true
4308          */
4309         isArrayOfCoordinates: true,
4310 
4311         /**
4312          * Attributes for the points generated by Cardinalspline in cases
4313          * {@link createPoints} is set to true
4314          *
4315          * @name points
4316          * @memberOf Cardinalspline.prototype
4317          *
4318          * @see Cardinalspline#createPoints
4319          * @type Object
4320          */
4321         points: {
4322             strokeOpacity: 0.05,
4323             fillOpacity: 0.05,
4324             highlightStrokeOpacity: 1.0,
4325             highlightFillOpacity: 1.0,
4326             withLabel: false,
4327             name: '',
4328             fixed: false
4329         }
4330 
4331         /**#@-*/
4332     },
4333 
4334     /* special chart options */
4335     chart: {
4336         /**#@+
4337          * @visprop
4338          */
4339 
4340         chartStyle: 'line',
4341         colors: ['#B02B2C', '#3F4C6B', '#C79810', '#D15600', '#FFFF88', '#c3d9ff', '#4096EE', '#008C00'],
4342         highlightcolors: null,
4343         fillcolor: null,
4344         highlightonsector: false,
4345         highlightbysize: false,
4346 
4347         fillOpacity: 0.6,
4348         withLines: false,
4349 
4350         label: {
4351         }
4352         /**#@-*/
4353     },
4354 
4355     /* special html slider options */
4356     checkbox: {
4357         /**#@+
4358          * @visprop
4359          */
4360 
4361         /**
4362          * Control the attribute "disabled" of the HTML checkbox.
4363          *
4364          * @name disabled
4365          * @memberOf Checkbox.prototype
4366          *
4367          * @type Boolean
4368          * @default false
4369          */
4370         disabled: false,
4371 
4372         /**
4373          * Control the attribute "checked" of the HTML checkbox.
4374          *
4375          * @name checked
4376          * @memberOf Checkbox.prototype
4377          *
4378          * @type Boolean
4379          * @default false
4380          */
4381         checked: false,
4382 
4383         display: 'html'
4384 
4385         /**#@-*/
4386     },
4387 
4388     /*special circle options */
4389     circle: {
4390         /**#@+
4391          * @visprop
4392          */
4393 
4394         /**
4395          * If <tt>true</tt>, moving the mouse over inner points triggers hasPoint.
4396          *
4397          * @see JXG.GeometryElement#hasPoint
4398          * @name Circle#hasInnerPoints
4399          * @type Boolean
4400          * @default false
4401          */
4402         hasInnerPoints: false,
4403 
4404         fillColor: 'none',
4405         highlightFillColor: 'none',
4406         strokeColor: Color.palette.blue,
4407         highlightStrokeColor: '#c3d9ff',
4408 
4409         /**
4410          * Attributes for center point.
4411          *
4412          * @type Point
4413          * @name Circle#center
4414          */
4415         center: {
4416             visible: false,
4417             withLabel: false,
4418             fixed: false,
4419 
4420             fillColor: Color.palette.red,
4421             strokeColor: Color.palette.red,
4422             highlightFillColor: '#c3d9ff',
4423             highlightStrokeColor: '#c3d9ff',
4424             layer: 9,
4425 
4426             name: ''
4427         },
4428 
4429         /**
4430          * Attributes for center point.
4431          *
4432          * @type Point
4433          * @name Circle#point2
4434          */
4435         point2: {
4436             fillColor: Color.palette.red,
4437             strokeColor: Color.palette.red,
4438             highlightFillColor: '#c3d9ff',
4439             highlightStrokeColor: '#c3d9ff',
4440             layer: 9,
4441 
4442             visible: false,
4443             withLabel: false,
4444             fixed: false,
4445             name: ''
4446         },
4447 
4448         /**
4449          * Attributes for circle label.
4450          *
4451          * @type Label
4452          * @name Circle#label
4453          */
4454         label: {
4455             position: 'urt'
4456         }
4457 
4458         /**#@-*/
4459     },
4460 
4461     /* special options for circumcircle of 3 points */
4462     circumcircle: {
4463         /**#@+
4464          * @visprop
4465          */
4466 
4467         fillColor: 'none',
4468         highlightFillColor: 'none',
4469         strokeColor: Color.palette.blue,
4470         highlightStrokeColor: '#c3d9ff',
4471 
4472         /**
4473          * Attributes for center point.
4474          *
4475          * @type Point
4476          * @name Circumcircle#center
4477          */
4478         center: {               // center point
4479             visible: false,
4480             fixed: false,
4481             withLabel: false,
4482             fillColor: Color.palette.red,
4483             strokeColor: Color.palette.red,
4484             highlightFillColor: '#c3d9ff',
4485             highlightStrokeColor: '#c3d9ff',
4486             name: ''
4487         }
4488         /**#@-*/
4489     },
4490 
4491     circumcirclearc: {
4492         /**#@+
4493          * @visprop
4494          */
4495 
4496         fillColor: 'none',
4497         highlightFillColor: 'none',
4498         strokeColor: Color.palette.blue,
4499         highlightStrokeColor: '#c3d9ff',
4500 
4501         /**
4502          * Attributes for center point.
4503          *
4504          * @type Point
4505          * @name CircumcircleArc#center
4506          */
4507         center: {
4508             visible: false,
4509             withLabel: false,
4510             fixed: false,
4511             name: ''
4512         }
4513         /**#@-*/
4514     },
4515 
4516     /* special options for circumcircle sector of 3 points */
4517     circumcirclesector: {
4518         /**#@+
4519          * @visprop
4520          */
4521 
4522         useDirection: true,
4523         fillColor: Color.palette.yellow,
4524         highlightFillColor: Color.palette.yellow,
4525         fillOpacity: 0.3,
4526         highlightFillOpacity: 0.3,
4527         strokeColor: Color.palette.blue,
4528         highlightStrokeColor: '#c3d9ff',
4529 
4530         /**
4531          * Attributes for center point.
4532          *
4533          * @type Point
4534          * @name Circle#point
4535          */
4536         point: {
4537             visible: false,
4538             fixed: false,
4539             withLabel: false,
4540             name: ''
4541         }
4542         /**#@-*/
4543     },
4544 
4545     /* special options for comb */
4546     comb: {
4547         /**#@+
4548          * @visprop
4549          */
4550 
4551         /**
4552          * Frequency of comb elements.
4553          *
4554          * @type Number
4555          * @name Comb#frequency
4556          * @default 0.2
4557          */
4558         frequency: 0.2,
4559 
4560         /**
4561          * Width of the comb.
4562          *
4563          * @type Number
4564          * @name Comb#width
4565          * @default 0.4
4566          */
4567         width: 0.4,
4568 
4569         /**
4570          * Angle - given in radians - under which comb elements are positioned.
4571          *
4572          * @type Number
4573          * @name Comb#angle
4574          * @default Math.PI / 3 (i.e. π /3  or 60^° degrees)
4575          */
4576         angle: Math.PI / 3,
4577 
4578         /**
4579          * Should the comb go right to left instead of left to right.
4580          *
4581          * @type Boolean
4582          * @name Comb#reverse
4583          * @default false
4584          */
4585         reverse: false,
4586 
4587         /**
4588          * Attributes for first defining point of the comb.
4589          *
4590          * @type Point
4591          * @name Comb#point1
4592          */
4593         point1: {
4594             visible: false,
4595             withLabel: false,
4596             fixed: false,
4597             name: ''
4598         },
4599 
4600         /**
4601          * Attributes for second defining point of the comb.
4602          *
4603          * @type Point
4604          * @name Comb#point2
4605          */
4606         point2: {
4607             visible: false,
4608             withLabel: false,
4609             fixed: false,
4610             name: ''
4611         },
4612 
4613         // /**
4614         //  * Attributes for the curve displaying the comb.
4615         //  *
4616         //  * @type Curve
4617         //  * @name Comb#curve
4618         //  */
4619         // curve: {
4620         //     strokeWidth: 1,
4621         //     strokeColor: '#0000ff',
4622         //     fillColor: 'none'
4623         // },
4624         strokeWidth: 1,
4625         strokeColor: '#0000ff',
4626         fillColor: 'none'
4627     },
4628 
4629     /* special conic options */
4630     conic: {
4631         /**#@+
4632          * @visprop
4633          */
4634 
4635         fillColor: 'none',
4636         highlightFillColor: 'none',
4637         strokeColor: Color.palette.blue,
4638         highlightStrokeColor: '#c3d9ff',
4639 
4640         /**
4641          * Attributes for foci points.
4642          *
4643          * @type Point
4644          * @name Conic#foci
4645          */
4646         foci: {
4647             // points
4648             fixed: false,
4649             visible: false,
4650             withLabel: false,
4651             name: ''
4652         },
4653 
4654         /**
4655          * Attributes for center point.
4656          *
4657          * @type Point
4658          * @name Conic#center
4659          */
4660         center: {
4661             visible: false,
4662             withLabel: false,
4663             name: ''
4664         },
4665 
4666         /**
4667          * Attributes for five points defining the conic, if some of them are given as coordinates.
4668          *
4669          * @type Point
4670          * @name Conic#point
4671          */
4672         point: {
4673             withLabel: false,
4674             name: ''
4675         },
4676 
4677         /**
4678          * Attributes for parabola line in case the line is given by two
4679          * points or coordinate pairs.
4680          *
4681          * @type Line
4682          * @name Conic#line
4683          */
4684         line: {
4685             visible: false
4686         }
4687 
4688         /**#@-*/
4689     },
4690 
4691     /* special curve options */
4692     curve: {
4693         /**#@+
4694          * @visprop
4695          */
4696 
4697         strokeWidth: 1,
4698         strokeColor: Color.palette.blue,
4699         fillColor: 'none',
4700         fixed: true,
4701 
4702         /**
4703          * The curveType is set in {@link JXG.Curve#generateTerm} and used in {@link JXG.Curve#updateCurve}.
4704          * Possible values are <ul>
4705          * <li>'none'</li>
4706          * <li>'plot': Data plot</li>
4707          * <li>'parameter': we can not distinguish function graphs and parameter curves</li>
4708          * <li>'functiongraph': function graph</li>
4709          * <li>'polar'</li>
4710          * <li>'implicit' (not yet)</li></ul>
4711          * Only parameter and plot are set directly. Polar is set with {@link JXG.GeometryElement#setAttribute} only.
4712          * @name Curve#curveType
4713          * @type String
4714          * @default null
4715          */
4716         curveType: null,
4717 
4718         /**
4719          * If true use a recursive bisection algorithm.
4720          * It is slower, but usually the result is better. It tries to detect jumps
4721          * and singularities.
4722          *
4723          * @name Curve#doAdvancedPlot
4724          * @type Boolean
4725          * @default true
4726          */
4727         doAdvancedPlot: true,
4728 
4729         /**
4730          * If true use the algorithm by Gillam and Hohenwarter, which was default until version 0.98.
4731          *
4732          * @name Curve#doAdvancedPlotOld
4733          * @see Curve#doAdvancedPlot
4734          * @type Boolean
4735          * @default false
4736          * @deprecated
4737          */
4738         doAdvancedPlotOld: false,   // v1
4739 
4740         /**
4741          * Configure arrow head at the start position for curve.
4742          * Recommended arrow head type is 7.
4743          *
4744          * @name Curve#firstArrow
4745          * @type Boolean | Object
4746          * @default false
4747          * @see Line#firstArrow for options
4748          */
4749         firstArrow: false,
4750 
4751         /**
4752          * The data points of the curve are not connected with straight lines but with bezier curves.
4753          * @name Curve#handDrawing
4754          * @type Boolean
4755          * @default false
4756          */
4757         handDrawing: false,
4758 
4759         /**
4760          * Attributes for curve label.
4761          *
4762          * @type Label
4763          * @name Curve#label
4764          */
4765         label: {
4766             position: 'lft'
4767         },
4768 
4769         /**
4770          * Configure arrow head at the end position for curve.
4771          * Recommended arrow head type is 7.
4772          *
4773          * @name Curve#lastArrow
4774          * @see Line#lastArrow for options
4775          * @type Boolean | Object
4776          * @default false
4777          */
4778         lastArrow: false,
4779 
4780         /**
4781          * Line endings (linecap) of a curve stroke.
4782          * Possible values are:
4783          * <ul>
4784          * <li> 'butt',
4785          * <li> 'round',
4786          * <li> 'square'.
4787          * </ul>
4788          *
4789          * @name JXG.Curve#lineCap
4790          * @type String
4791          * @default 'round'
4792          */
4793         lineCap: 'round',
4794 
4795         /**
4796          * Number of points used for plotting triggered by up events
4797          * (i.e. high quality plotting) in case
4798          * {@link Curve#doAdvancedPlot} is false.
4799          *
4800          * @name Curve#numberPointsHigh
4801          * @see Curve#doAdvancedPlot
4802          * @type Number
4803          * @default 1600
4804          */
4805         numberPointsHigh: 1600,  // Number of points on curves after mouseUp
4806 
4807         /**
4808          * Number of points used for plotting triggered by move events
4809          * (i.e. lower quality plotting but fast) in case
4810          * {@link Curve#doAdvancedPlot} is false.
4811          *
4812          * @name Curve#numberPointsLow
4813          * @see Curve#doAdvancedPlot
4814          * @type Number
4815          * @default 400
4816          */
4817         numberPointsLow: 400,    // Number of points on curves after mousemove
4818 
4819         /**
4820          * Select the version of the plot algorithm.
4821          * <ul>
4822          * <li> Version 1 is very outdated
4823          * <li> Version 2 is the default version in JSXGraph v0.99.*, v1.0, and v1.1, v1.2.0
4824          * <li> Version 3 is an internal version that was never published in  a stable version.
4825          * <li> Version 4 is available since JSXGraph v1.2.0
4826          * </ul>
4827          * Version 4 plots correctly logarithms if the function term is supplied as string (i.e. as JessieCode)
4828          *
4829          * @example
4830          *   var c = board.create('functiongraph', ["log(x)"]);
4831          *
4832          * @name Curve#plotVersion
4833          * @type Number
4834          * @default 2
4835          */
4836         plotVersion: 2,
4837 
4838         /**
4839          * Configure arrow head at the start position for curve.
4840          * Recommended arrow head type is 7.
4841          *
4842          * @name Curve#recursionDepthHigh
4843          * @see Curve#doAdvancedPlot
4844          * @type Number
4845          * @default 17
4846          */
4847         recursionDepthHigh: 17,
4848 
4849         /**
4850          * Number of points used for plotting triggered by move events in case
4851          * (i.e. lower quality plotting but fast)
4852          * {@link Curve#doAdvancedPlot} is true.
4853          *
4854          * @name Curve#recursionDepthLow
4855          * @see Curve#doAdvancedPlot
4856          * @type Number
4857          * @default 13
4858          */
4859         recursionDepthLow: 15
4860 
4861         /**#@-*/
4862     },
4863 
4864     /* special foreignObject options */
4865     foreignobject: {
4866         /**#@+
4867          * @visprop
4868          */
4869 
4870         fixed: true,
4871         visible: true,
4872         needsRegularUpdate: false,
4873 
4874         /**
4875          * List of attractor elements. If the distance of the foreignobject is less than
4876          * attractorDistance the foreignobject is made to glider of this element.
4877          *
4878          * @name ForeignObject#attractors
4879          *
4880          * @type Array
4881          * @default empty
4882          */
4883         attractors: []
4884 
4885         /**#@-*/
4886     },
4887 
4888     /* special functiongraph options */
4889     functiongraph: {
4890         /**#@+
4891          * @visprop
4892          */
4893 
4894 
4895         /**#@-*/
4896     },
4897 
4898     /* special glider options */
4899     glider: {
4900         /**#@+
4901          * @visprop
4902          */
4903 
4904         label: {}
4905         /**#@-*/
4906     },
4907 
4908     /* special grid options */
4909     grid: {
4910         /**#@+
4911          * @visprop
4912          */
4913 
4914         needsRegularUpdate: false,
4915         hasGrid: false,  // Used in standardoptions
4916         highlight: false,
4917 
4918         /**
4919          * Deprecated. Use {@link Grid#majorStep} instead.
4920          *
4921          * @deprecated
4922          * @type {Number|String}
4923          * @name Grid#gridX
4924          * @default null
4925          */
4926         gridX: null,
4927 
4928         /**
4929          * Deprecated. Use {@link Grid#majorStep} instead.
4930          *
4931          * @deprecated
4932          * @type {Number|String}
4933          * @name Grid#gridY
4934          * @default null
4935          */
4936         gridY: null,
4937 
4938         /**
4939          * Distance of major grid elements. There are three possibilities:
4940          * <ul>
4941          *     <li>If it is set to 'auto' the distance of the major grid equals the distance of majorTicks of the corresponding axis.
4942          *     <li>Numbers or strings which are numbers (e.g. '10') are interpreted as distance in usrCoords.
4943          *     <li>Strings with the unit 'px' are interpreted as distance in screen pixels.
4944          *     <li>Strings with the unit '%' or 'fr' are interpreted as a ratio to the width/height of the board. (e.g. 50% = 0.5fr)
4945          * </ul>
4946          * Instead of one value you can provide two values as an array <tt>[x, y]</tt> here.
4947          * These are used as distance in x- and y-direction.
4948          *
4949          * @type {Number|String|Array}
4950          * @name Grid#majorStep
4951          * @default 'auto'
4952          * @see JXG.Ticks#getDistanceMajorTicks
4953          */
4954         majorStep: 'auto',
4955 
4956         /**
4957          * Number of elements in minor grid between elements of the major grid. There are three possibilities:
4958          * <ul>
4959          *     <li>If set to 'auto', the number minor elements is equal to the number of minorTicks of the corresponding axis.
4960          *     <li>Numbers or strings which are numbers (e.g. '10') are interpreted as quantity.
4961          * </ul>
4962          * Instead of one value you can provide two values as an array <tt>[x, y]</tt> here.
4963          * These are used as number in x- and y-direction.
4964          *
4965          * @type {Number|String|Array}
4966          * @name Grid#minorElements
4967          * @default 0
4968          */
4969         minorElements: 0,
4970 
4971         /**
4972          * To print a quadratic grid with same distance of major grid elements in x- and y-direction.
4973          * <tt>'min'</tt> or <tt>true</tt> will set both distances of major grid elements in x- and y-direction to the primarily lesser value,
4974          * <tt>'max'</tt> to the primarily greater value.
4975          *
4976          * @type {Boolean|String}
4977          * @name Grid#forceSquare
4978          * @default false
4979          */
4980         forceSquare: false,
4981 
4982         /**
4983          * To decide whether major or minor grid elements on boundaries of the boundingBox shall be shown, half-ones as well.
4984          *
4985          * @type {Boolean}
4986          * @name Grid#includeBoundaries
4987          * @default false
4988          */
4989         includeBoundaries: false,
4990 
4991         /**
4992          * Size of grid elements. There are the following possibilities:
4993          * <ul>
4994          *     <li>Numbers or strings which are numbers (e.g. '10') are interpreted as size in pixels.
4995          *     <li>Strings with additional '%' (e.g. '95%') are interpreted as the ratio of used space for one element.
4996          * </ul>
4997          * Unused for 'line' which will use the value of strokeWidth.
4998          * Instead of one value you can provide two values as an array <tt>[x, y]</tt> here.
4999          * These are used as size in x- and y-direction.
5000          *
5001          * <p><b><i>This attribute can be set individually for major and minor grid as a sub-entry of {@link Grid#major} or {@link Grid#minor}</i></b>,
5002          * e.g. <tt>major: {size: ...}</tt>
5003          * For default values have a look there.</p>
5004          *
5005          * @type {Number|String|Array}
5006          * @name Grid#size
5007          */
5008         // This attribute only exists for documentation purposes. It has no effect and is overwritten with actual values in major and minor.
5009         size: undefined,
5010 
5011         /**
5012          * Appearance of grid elements.
5013          * There are different styles which differ in appearance.
5014          * Possible values are (comparing to {@link Point#face}):
5015          * <table>
5016          * <tr><th>Input</th><th>Output</th><th>Fillable by fillColor,...</th></tr>
5017          * <tr><td>point, .</td><td>.</td><td>no</td></tr>
5018          * <tr><td>line</td><td>−</td><td>no</td></tr>
5019          * <tr><td>cross, x</td><td>x</td><td>no</td></tr>
5020          * <tr><td>circle, o</td><td>o</td><td>yes</td></tr>
5021          * <tr><td>square, []</td><td>[]</td><td>yes</td></tr>
5022          * <tr><td>plus, +</td><td>+</td><td>no</td></tr>
5023          * <tr><td>minus, -</td><td>-</td><td>no</td></tr>
5024          * <tr><td>divide, |</td><td>|</td><td>no</td></tr>
5025          * <tr><td>diamond, <></td><td><></td><td>yes</td></tr>
5026          * <tr><td>diamond2, <<>></td><td><> (bigger)</td><td>yes</td></tr>
5027          * <tr><td>triangleup, ^, a, A</td><td>^</td><td>no</td></tr>
5028          * <tr><td>triangledown, v</td><td>v</td><td>no</td></tr>
5029          * <tr><td>triangleleft, <</td><td> <</td><td>no</td></tr>
5030          * <tr><td>triangleright, ></td><td>></td><td>no</td></tr>
5031          * <tr><td>regularPolygon, regpol</td><td>⬡</td><td>yes</td></tr>
5032          * </table>
5033          *
5034          * <p><b><i>This attribute can be set individually for major and minor grid as a sub-entry of {@link Grid#major} or {@link Grid#minor}</i></b>,
5035          * e.g. <tt>major: {face: ...}</tt>
5036          * For default values have a look there.</p>
5037          *
5038          * @type {String}
5039          * @name Grid#face
5040          */
5041          // This attribute only exists for documentation purposes. It has no effect and is overwritten with actual values in major and minor.
5042         face: undefined,
5043 
5044         /**
5045          * This number (pixel value) controls where grid elements end at the canvas edge. If zero, the line
5046          * ends exactly at the end, if negative there is a margin to the inside, if positive the line
5047          * ends outside of the canvas (which is invisible).
5048          *
5049          * <p><b><i>This attribute can be set individually for major and minor grid as a sub-entry of {@link Grid#major} or {@link Grid#minor}</i></b>,
5050          * e.g. <tt>major: {margin: ...}</tt>
5051          * For default values have a look there.</p>
5052          *
5053          * @name Grid#margin
5054          * @type {Number}
5055          */
5056         // This attribute only exists for documentation purposes. It has no effect and is overwritten with actual values in major and minor.
5057         margin: undefined,
5058 
5059         /**
5060          * This attribute determines whether the grid elements located at <tt>x=0</tt>, <tt>y=0</tt>
5061          * and (for major grid only) at <tt>(0, 0)</tt> are displayed.
5062          * The main reason to set this attribute to "false", might be in combination with axes.
5063          * <ul>
5064          *     <li>If <tt>false</tt>, then all these elements are hidden.
5065          *     <li>If <tt>true</tt>, all these elements are shown.
5066          *     <li>If an object of the following form is given, the three cases can be distinguished individually:<br>
5067          *     <tt>{x: true|false, y: true|false, origin: true|false}</tt>
5068          * </ul>
5069          *
5070          * <p><b><i>This attribute can be set individually for major and minor grid as a sub-entry of {@link Grid#major} or {@link Grid#minor}</i></b>,
5071          * e.g. <tt>major: {drawZero: ...}</tt>
5072          * For default values have a look there.</p>
5073          *
5074          * @type {Boolean|Object}
5075          * @name Grid#drawZero
5076          */
5077         // This attribute only exists for documentation purposes. It has no effect and is overwritten with actual values in major and minor.
5078         drawZero: undefined,
5079 
5080         /**
5081          * Number of vertices for face 'polygon'.
5082          *
5083          * <p><b><i>This attribute can be set individually for major and minor grid as a sub-entry of {@link Grid#major} or {@link Grid#minor}</i></b>,
5084          * e.g. <tt>major: {polygonVertices: ...}</tt>
5085          * For default values have a look there.</p>
5086          *
5087          * @type {Number}
5088          * @name Grid#polygonVertices
5089          */
5090         // This attribute only exists for documentation purposes. It has no effect and is overwritten with actual values in major and minor.
5091         polygonVertices: undefined,
5092 
5093         /**
5094          * This object contains the attributes for major grid elements.
5095          * You can override the following grid attributes individually here:
5096          * <ul>
5097          *     <li>{@link Grid#size}
5098          *     <li>{@link Grid#face}
5099          *     <li>{@link Grid#margin}
5100          *     <li>{@link Grid#drawZero}
5101          *     <li>{@link Grid#polygonVertices}
5102          * </ul>
5103          * Default values are:
5104          * <pre>{
5105          *      size: 5,
5106          *      face: 'line',
5107          *      margin: 0,
5108          *      drawZero: true,
5109          *      polygonVertices: 6
5110          *  }</pre>
5111          *
5112          * @name Grid#major
5113          * @type {Object}
5114          */
5115         major: {
5116 
5117             /**
5118              * Documented in Grid#size
5119              * @class
5120              * @ignore
5121              */
5122             size: 5,
5123 
5124             /**
5125              * Documented in Grid#face
5126              * @class
5127              * @ignore
5128              */
5129             face: 'line',
5130 
5131             /**
5132              * Documented in Grid#margin
5133              * @class
5134              * @ignore
5135              */
5136             margin: 0,
5137 
5138             /**
5139              * Documented in Grid#drawZero
5140              * @class
5141              * @ignore
5142              */
5143             drawZero: true,
5144 
5145             /**
5146              * Documented in Grid#polygonVertices
5147              * @class
5148              * @ignore
5149              */
5150             polygonVertices: 6
5151         },
5152 
5153         /**
5154          * This object contains the attributes for minor grid elements.
5155          * You can override the following grid attributes individually here:
5156          * <ul>
5157          *     <li>{@link Grid#size}
5158          *     <li>{@link Grid#face}
5159          *     <li>{@link Grid#margin}
5160          *     <li>{@link Grid#drawZero}
5161          *     <li>{@link Grid#polygonVertices}
5162          * </ul>
5163          * Default values are:
5164          * <pre>{
5165          *      size: 3,
5166          *      face: 'point',
5167          *      margin: 0,
5168          *      drawZero: true,
5169          *      polygonVertices: 6
5170          *  }</pre>
5171          *
5172          * @name Grid#minor
5173          * @type {Object}
5174          */
5175         minor: {
5176 
5177             /**
5178              * @class
5179              * @ignore
5180              */
5181             visible: 'inherit',
5182 
5183             /**
5184              * Documented in Grid#size
5185              * @class
5186              * @ignore
5187              */
5188             size: 3,
5189 
5190             /**
5191              * Documented in Grid#face
5192              * @class
5193              * @ignore
5194              */
5195             face: 'point',
5196 
5197             /**
5198              * Documented in Grid#margin
5199              * @class
5200              * @ignore
5201              */
5202             margin: 0,
5203 
5204             /**
5205              * Documented in Grid#drawZero
5206              * @class
5207              * @ignore
5208              */
5209             drawZero: true,
5210 
5211             /**
5212              * Documented in Grid#polygonVertices
5213              * @class
5214              * @ignore
5215              */
5216             polygonVertices: 6
5217         },
5218 
5219         /**
5220          * @class
5221          * @ignore
5222          * @deprecated
5223          */
5224         snapToGrid: false,
5225 
5226         strokeColor: '#c0c0c0',
5227         strokeWidth: 1,
5228         strokeOpacity: 0.5,
5229         dash: 0,
5230 
5231         /**
5232          * Use a predefined theme for grid.
5233          * Attributes can be overwritten by explicitly set the specific value.
5234          *
5235          * @type {Number}
5236          * @default 0
5237          * @see Grid#themes
5238          */
5239         theme: 0,
5240 
5241         /**
5242          * Array of theme attributes.
5243          * The index of the entry is the number of the theme.
5244          *
5245          * @type {Array}
5246          * @name Grid#themes
5247          * @private
5248          *
5249          * @example
5250          * // Theme 1
5251          * // quadratic grid appearance with distance of major grid elements set to the primarily greater one
5252          *
5253          * JXG.JSXGraph.initBoard('jxgbox', {
5254          *     boundingbox: [-4, 4, 4, -4], axis: true,
5255          *     defaultAxes: {
5256          *         x: { ticks: {majorHeight: 10} },
5257          *         y: { ticks: {majorHeight: 10} }
5258          *     },
5259          *     grid: { theme: 1 },
5260          * });
5261          * </pre> <div id="JXGb8d606c4-7c67-4dc0-9941-3b3bd0932898" class="jxgbox" style="width: 300px; height: 200px;"></div>
5262          * <script type="text/javascript">
5263          *     (function() {
5264          *         JXG.JSXGraph.initBoard('JXGb8d606c4-7c67-4dc0-9941-3b3bd0932898',
5265          *             {boundingbox: [-4, 4, 4, -4], axis: true, showcopyright: false, shownavigation: false,
5266          *                 defaultAxes: {
5267          *                     x: { ticks: {majorHeight: 10} },
5268          *                     y: { ticks: {majorHeight: 10} }
5269          *                 },
5270          *                grid: { theme: 1 },
5271          *             });
5272          *     })();
5273          * </script> <pre>
5274          *
5275          * @example
5276          * // Theme 2
5277          * // lines and points in between
5278          *
5279          * JXG.JSXGraph.initBoard('jxgbox', {
5280          *     boundingbox: [-4, 4, 4, -4], axis: false,
5281          *     grid: { theme: 2 },
5282          * });
5283          * </pre> <div id="JXG4e11e6e3-472a-48e0-b7d0-f80d397c769b" class="jxgbox" style="width: 300px; height: 300px;"></div>
5284          * <script type="text/javascript">
5285          *     (function() {
5286          *         JXG.JSXGraph.initBoard('JXG4e11e6e3-472a-48e0-b7d0-f80d397c769b',
5287          *             {boundingbox: [-4, 4, 4, -4], axis: false, showcopyright: false, shownavigation: false,
5288          *                 grid: { theme: 2 },
5289          *             })
5290          *     })();
5291          * </script> <pre>
5292          *
5293          * @example
5294          * // Theme 3
5295          * // lines and thinner lines in between
5296          *
5297          * JXG.JSXGraph.initBoard('jxgbox', {
5298          *     boundingbox: [-4, 4, 4, -4], axis: false,
5299          *     grid: { theme: 3 },
5300          * });
5301          * </pre> <div id="JXG334814a3-03a7-4231-a5a7-a42d3b8dc2de" class="jxgbox" style="width: 300px; height: 300px;"></div>
5302          * <script type="text/javascript">
5303          *     (function() {
5304          *         JXG.JSXGraph.initBoard('JXG334814a3-03a7-4231-a5a7-a42d3b8dc2de',
5305          *             {boundingbox: [-4, 4, 4, -4], axis: false, showcopyright: false, shownavigation: false,
5306          *                 grid: { theme: 3 }
5307          *         });
5308          *     })();
5309          * </script> <pre>
5310          *
5311          * @example
5312          * // Theme 4
5313          * // lines with grid of '+'s plotted in between
5314          *
5315          * JXG.JSXGraph.initBoard('jxgbox', {
5316          *     boundingbox: [-4, 4, 4, -4], axis: false,
5317          *     grid: { theme: 4 },
5318          * });
5319          * </pre> <div id="JXG9e2bb29c-d998-428c-9432-4a7bf6cd9222" class="jxgbox" style="width: 300px; height: 300px;"></div>
5320          * <script type="text/javascript">
5321          *     (function() {
5322          *         JXG.JSXGraph.initBoard('JXG9e2bb29c-d998-428c-9432-4a7bf6cd9222',
5323          *             {boundingbox: [-4, 4, 4, -4], axis: false, showcopyright: false, shownavigation: false,
5324          *                 grid: { theme: 4 },
5325          *             });
5326          *     })();
5327          * </script> <pre>
5328          *
5329          * @example
5330          * // Theme 5
5331          * // grid of '+'s and points in between
5332          *
5333          * JXG.JSXGraph.initBoard('jxgbox', {
5334          *     boundingbox: [-4, 4, 4, -4], axis: false,
5335          *     grid: { theme: 5 },
5336          * });
5337          * </pre> <div id="JXG6a967d83-4179-4827-9e97-63fbf1e872c8" class="jxgbox" style="width: 300px; height: 300px;"></div>
5338          * <script type="text/javascript">
5339          *     (function() {
5340          *         JXG.JSXGraph.initBoard('JXG6a967d83-4179-4827-9e97-63fbf1e872c8',
5341          *             {boundingbox: [-4, 4, 4, -4], axis: false, showcopyright: false, shownavigation: false,
5342          *                 grid: { theme: 5 },
5343          *         });
5344          *     })();
5345          * </script> <pre>
5346          *
5347          * @example
5348          * // Theme 6
5349          * // grid of circles with points in between
5350          *
5351          * JXG.JSXGraph.initBoard('jxgbox', {
5352          *     boundingbox: [-4, 4, 4, -4], axis: false,
5353          *     grid: { theme: 6 },
5354          * });
5355          * </pre> <div id="JXG28bee3da-a7ef-4590-9a18-38d1b99d09ce" class="jxgbox" style="width: 300px; height: 300px;"></div>
5356          * <script type="text/javascript">
5357          *     (function() {
5358          *         JXG.JSXGraph.initBoard('JXG28bee3da-a7ef-4590-9a18-38d1b99d09ce',
5359          *             {boundingbox: [-4, 4, 4, -4], axis: false, showcopyright: false, shownavigation: false,
5360          *                 grid: { theme: 6 },
5361          *         });
5362          *     })();
5363          * </script> <pre>
5364          */
5365         themes: [
5366             {
5367                 // default values
5368             },
5369 
5370             {   // Theme 1: quadratic grid appearance with distance of major grid elements in x- and y-direction set to the primarily smaller one
5371                 forceSquare: 'min',
5372                 major: {
5373                     face: 'line'
5374                 }
5375             },
5376 
5377             {   // Theme 2: lines and points in between
5378                 major: {
5379                     face: 'line'
5380                 },
5381                 minor: {
5382                     size: 3,
5383                     face: 'point'
5384                 },
5385                 minorElements: 'auto'
5386             },
5387 
5388             {   // Theme 3: lines and thinner lines in between
5389                 major: {
5390                     face: 'line'
5391                 },
5392                 minor: {
5393                     face: 'line',
5394                     strokeOpacity: 0.25
5395                 },
5396                 minorElements: 'auto'
5397             },
5398 
5399             {   // Theme 4: lines with grid of '+'s plotted in between
5400                 major: {
5401                     face: 'line'
5402                 },
5403                 minor: {
5404                     face: '+',
5405                     size: '95%'
5406                 },
5407                 minorElements: 'auto'
5408             },
5409 
5410             {   // Theme 5: grid of '+'s and more points in between
5411                 major: {
5412                     face: '+',
5413                     size: 10,
5414                     strokeOpacity: 1
5415                 },
5416                 minor: {
5417                     face: 'point',
5418                     size: 3
5419                 },
5420                 minorElements: 'auto'
5421             },
5422 
5423             {   // Theme 6: grid of circles with points in between
5424                 major: {
5425                     face: 'circle',
5426                     size: 8,
5427                     fillColor: '#c0c0c0'
5428                 },
5429                 minor: {
5430                     face: 'point',
5431                     size: 3
5432                 },
5433                 minorElements: 'auto'
5434             }
5435         ]
5436 
5437         /**#@-*/
5438     },
5439 
5440     group: {
5441         needsRegularUpdate: true
5442     },
5443 
5444     /* special html slider options */
5445     htmlslider: {
5446         /**#@+
5447          * @visprop
5448          */
5449 
5450         // /**
5451         //  *
5452         //  * These affect the DOM element input type="range".
5453         //  * The other attributes affect the DOM element div containing the range element.
5454         //  */
5455         widthRange: 100,
5456         widthOut: 34,
5457         step: 0.01,
5458 
5459         frozen: true,
5460         isLabel: false,
5461         strokeColor: '#000000',
5462         display: 'html',
5463         anchorX: 'left',
5464         anchorY: 'middle',
5465         withLabel: false
5466 
5467         /**#@-*/
5468     },
5469 
5470     /* special image options */
5471     image: {
5472         /**#@+
5473          * @visprop
5474          */
5475 
5476         imageString: null,
5477         fillOpacity: 1.0,
5478         highlightFillOpacity: 0.6,
5479 
5480 
5481         /**
5482          * Defines the CSS class used by the image. CSS attributes defined in
5483          * this class will overwrite the corresponding JSXGraph attributes, e.g.
5484          * opacity.
5485          * The default CSS class is defined in jsxgraph.css.
5486          *
5487          * @name Image#cssClass
5488          *
5489          * @see Image#highlightCssClass
5490          * @type String
5491          * @default 'JXGimage'
5492          */
5493         cssClass: 'JXGimage',
5494 
5495         /**
5496          * Defines the CSS class used by the image when highlighted.
5497          * CSS attributes defined in this class will overwrite the
5498          * corresponding JSXGraph attributes, e.g. highlightFillOpacity.
5499          * The default CSS class is defined in jsxgraph.css.
5500          *
5501          * @name Image#highlightCssClass
5502          *
5503          * @see Image#cssClass
5504          * @type String
5505          * @default 'JXGimageHighlight'
5506          */
5507         highlightCssClass: 'JXGimageHighlight',
5508 
5509         /**
5510          * Image rotation in degrees.
5511          *
5512          * @name Image#rotate
5513          * @type Number
5514          * @default 0
5515          */
5516         rotate: 0,
5517 
5518         /**
5519          * Defines together with {@link Image#snapSizeY} the grid the image snaps on to.
5520          * The image will only snap on user coordinates which are
5521          * integer multiples to snapSizeX in x and snapSizeY in y direction.
5522          * If this value is equal to or less than <tt>0</tt>, it will use the grid displayed by the major ticks
5523          * of the default ticks of the default x axes of the board.
5524          *
5525          * @name Image#snapSizeX
5526          *
5527          * @see Point#snapToGrid
5528          * @see Image#snapSizeY
5529          * @see JXG.Board#defaultAxes
5530          * @type Number
5531          * @default 1
5532          */
5533         snapSizeX: 1,
5534 
5535         /**
5536          * Defines together with {@link Image#snapSizeX} the grid the image snaps on to.
5537          * The image will only snap on integer multiples to snapSizeX in x and snapSizeY in y direction.
5538          * If this value is equal to or less than <tt>0</tt>, it will use the grid displayed by the major ticks
5539          * of the default ticks of the default y axes of the board.
5540          *
5541          * @name Image#snapSizeY
5542          *
5543          * @see Point#snapToGrid
5544          * @see Image#snapSizeX
5545          * @see JXG.Board#defaultAxes
5546          * @type Number
5547          * @default 1
5548          */
5549         snapSizeY: 1,
5550 
5551         /**
5552          * List of attractor elements. If the distance of the image is less than
5553          * attractorDistance the image is made to glider of this element.
5554          *
5555          * @name Image#attractors
5556          *
5557          * @type Array
5558          * @default empty
5559          */
5560         attractors: []
5561 
5562         /**#@-*/
5563     },
5564 
5565     /* special implicitcurve options */
5566     implicitcurve: {
5567         /**#@+
5568          * @visprop
5569          */
5570 
5571         /**
5572          * Defines the margin (in user coordinates) around the JSXGraph board in which the
5573          * implicit curve is plotted.
5574          *
5575          * @name ImplicitCurve#margin
5576          * @type {Number|Function}
5577          * @default 1
5578          */
5579         margin: 1,
5580 
5581         /**
5582          * Horizontal resolution: distance (in pixel) between vertical lines to search for components of the implicit curve.
5583          * A small number increases the running time. For large number components may be missed.
5584          * Minimum value is 0.01.
5585          *
5586          * @name ImplicitCurve#resolution_outer
5587          * @type {Number|Function}
5588          * @default 5
5589          */
5590         resolution_outer: 5,
5591 
5592         /**
5593          * Vertical resolution (in pixel) to search for components of the implicit curve.
5594          * A small number increases the running time. For large number components may be missed.
5595          * Minimum value is 0.01.
5596          *
5597          * @name ImplicitCurve#resolution_inner
5598          * @type {Number|Function}
5599          * @default 5
5600          */
5601         resolution_inner: 5,
5602 
5603         /**
5604          * Maximum iterations for one component of the implicit curve.
5605          *
5606          * @name ImplicitCurve#max_steps
5607          * @type {Number|Function}
5608          * @default 1024
5609          */
5610         max_steps: 1024,
5611 
5612         /**
5613          * Angle α<sub>0</sub> between two successive tangents: determines the smoothness of
5614          * the curve.
5615          *
5616          * @name ImplicitCurve#alpha_0
5617          * @type {Number|Function}
5618          * @default 0.05
5619          */
5620         alpha_0: 0.05,
5621 
5622         /**
5623          * Tolerance to find starting points for the tracing phase of a component.
5624          *
5625          * @name ImplicitCurve#tol_0
5626          * @type {Number|Function}
5627          * @default JXG.Math.eps
5628          */
5629         tol_u0: Mat.eps,
5630 
5631         /**
5632          * Tolerance for the Newton steps.
5633          *
5634          * @name ImplicitCurve#tol_newton
5635          * @type {Number|Function}
5636          * @default 1.0e-7
5637          */
5638         tol_newton: 1.0e-7,
5639 
5640         /**
5641          * Tolerance for cusp / bifurcation detection.
5642          *
5643          * @name ImplicitCurve#tol_cusp
5644          * @type {Number|Function}
5645          * @default 0.05
5646          */
5647         tol_cusp: 0.05,
5648 
5649         /**
5650          * If two points are closer than this value, we bail out of the tracing phase for that
5651          * component.
5652          *
5653          * @name ImplicitCurve#tol_progress
5654          * @type {Number|Function}
5655          * @default 0.0001
5656          */
5657         tol_progress: 0.0001,
5658 
5659         /**
5660          * Half of the box size (in user units) to search for existing line segments in the quadtree.
5661          *
5662          * @name ImplicitCurve#qdt_box
5663          * @type {Number|Function}
5664          * @default 0.2
5665          */
5666         qdt_box: 0.2,
5667 
5668         /**
5669          * Inverse of desired number of Newton steps.
5670          *
5671          * @name ImplicitCurve#kappa_0
5672          * @type {Number|Function}
5673          * @default 0.2
5674          */
5675         kappa_0: 0.2,
5676 
5677         /**
5678          * Allowed distance (in user units) of predictor point to curve.
5679          *
5680          * @name ImplicitCurve#delta_0
5681          * @type {Number|Function}
5682          * @default 0.05
5683          */
5684         delta_0: 0.05,
5685 
5686         /**
5687          * Initial step width (in user units).
5688          *
5689          * @name ImplicitCurve#h_initial
5690          * @type {Number|Function}
5691          * @default 0.1
5692          */
5693         h_initial: 0.1,
5694 
5695         /**
5696          * If h is below this threshold (in user units), we bail out
5697          * of the tracing phase of that component.
5698          *
5699          * @name ImplicitCurve#h_critical
5700          * @type {Number|Function}
5701          * @default 0.001
5702          */
5703         h_critical: 0.001,
5704 
5705         /**
5706          * Maximum step width (in user units).
5707          *
5708          * @name ImplicitCurve#h_max
5709          * @type {Number|Function}
5710          * @default 1
5711          */
5712         h_max: 1,
5713 
5714         /**
5715          * Allowed distance (in user units multiplied by actual step width) to detect loop.
5716          *
5717          * @name ImplicitCurve#loop_dist
5718          * @type {Number|Function}
5719          * @default 0.09
5720          */
5721         loop_dist: 0.09,
5722 
5723         /**
5724          * Minimum acos of angle to detect loop.
5725          *
5726          * @name ImplicitCurve#loop_dir
5727          * @type {Number|Function}
5728          * @default 0.99
5729          */
5730         loop_dir: 0.99,
5731 
5732         /**
5733          * Use Gosper's loop detector.
5734          *
5735          * @name ImplicitCurve#loop_detection
5736          * @type {Boolean|Function}
5737          * @default true
5738          */
5739         loop_detection: true
5740 
5741         /**#@-*/
5742     },
5743 
5744     /* special options for incircle of 3 points */
5745     incircle: {
5746         /**#@+
5747          * @visprop
5748          */
5749 
5750         fillColor: 'none',
5751         highlightFillColor: 'none',
5752         strokeColor: Color.palette.blue,
5753         highlightStrokeColor: '#c3d9ff',
5754 
5755         /**
5756          * Attributes of circle center.
5757          *
5758          * @type Point
5759          * @name Incircle#center
5760          */
5761         center: {               // center point
5762             visible: false,
5763             fixed: false,
5764             withLabel: false,
5765             fillColor: Color.palette.red,
5766             strokeColor: Color.palette.red,
5767             highlightFillColor: '#c3d9ff',
5768             highlightStrokeColor: '#c3d9ff',
5769             name: ''
5770         }
5771         /**#@-*/
5772     },
5773 
5774     inequality: {
5775         /**#@+
5776          * @visprop
5777          */
5778 
5779         fillColor: Color.palette.red,
5780         fillOpacity: 0.2,
5781         strokeColor: 'none',
5782 
5783         /**
5784          * By default an inequality is less (or equal) than. Set inverse to <tt>true</tt> will consider the inequality
5785          * greater (or equal) than.
5786          *
5787          * @type Boolean
5788          * @default false
5789          * @name Inequality#inverse
5790          * @visprop
5791          */
5792         inverse: false
5793         /**#@-*/
5794     },
5795 
5796     infobox: {
5797         /**#@+
5798          * @visprop
5799          */
5800 
5801         /**
5802          * Horizontal offset in pixel of the infobox text from its anchor point.
5803          *
5804          * @type Number
5805          * @default -20
5806          * @name JXG.Board.infobox#distanceX
5807          * @visprop
5808          */
5809         distanceX: -20,
5810 
5811         /**
5812          * Vertical offset in pixel of the infobox text from its anchor point.
5813          *
5814          * @type Number
5815          * @default 25
5816          * @name JXG.Board.infobox#distanceY
5817          * @visprop
5818          */
5819         distanceY: 25,
5820 
5821         /**
5822          * Internationalization support for infobox text.
5823          *
5824          * @name JXG.Board.infobox#intl
5825          * @type object
5826          * @default <pre>{
5827          *    enabled: 'inherit',
5828          *    options: {}
5829          * }</pre>
5830          * @visprop
5831          * @see JXG.Board#intl
5832          * @see Text#intl
5833          */
5834         intl: {
5835             enabled: 'inherit',
5836             options: {}
5837         },
5838 
5839         fontSize: 12,
5840         isLabel: false,
5841         strokeColor: '#bbbbbb',
5842         display: 'html',             // 'html' or 'internal'
5843         anchorX: 'left',             //  'left', 'middle', or 'right': horizontal alignment
5844         //  of the text.
5845         anchorY: 'middle',           //  'top', 'middle', or 'bottom': vertical alignment
5846         //  of the text.
5847         cssClass: 'JXGinfobox',
5848         rotate: 0,                   // works for non-zero values only in combination
5849         // with display=='internal'
5850         visible: true,
5851         parse: false,
5852         transitionDuration: 0,
5853         needsRegularUpdate: false,
5854         tabindex: null,
5855         viewport: [0, 0, 0, 0]
5856 
5857         /**#@-*/
5858     },
5859 
5860     /* special options for integral */
5861     integral: {
5862         /**#@+
5863          * @visprop
5864          */
5865 
5866         axis: 'x',        // 'x' or 'y'
5867         withLabel: true,    // Show integral value as text
5868         fixed: true,
5869         strokeWidth: 0,
5870         strokeOpacity: 0,
5871         fillColor: Color.palette.red,
5872         fillOpacity: 0.3,
5873         highlightFillColor: Color.palette.red,
5874         highlightFillOpacity: 0.2,
5875 
5876         /**
5877          * Attributes of the (left) starting point of the integral.
5878          *
5879          * @type Point
5880          * @name Integral#curveLeft
5881          * @see Integral#baseLeft
5882          */
5883         curveLeft: {    // Start point
5884             visible: true,
5885             withLabel: false,
5886             color: Color.palette.red,
5887             fillOpacity: 0.8,
5888             layer: 9
5889         },
5890 
5891         /**
5892          * Attributes of the (left) base point of the integral.
5893          *
5894          * @type Point
5895          * @name Integral#baseLeft
5896          * @see Integral#curveLeft
5897          */
5898         baseLeft: {    // Start point
5899             visible: false,
5900             fixed: false,
5901             withLabel: false,
5902             name: ''
5903         },
5904 
5905         /**
5906          * Attributes of the (right) end point of the integral.
5907          *
5908          * @type Point
5909          * @name Integral#curveRight
5910          * @see Integral#baseRight
5911          */
5912         curveRight: {      // End point
5913             visible: true,
5914             withLabel: false,
5915             color: Color.palette.red,
5916             fillOpacity: 0.8,
5917             layer: 9
5918         },
5919 
5920         /**
5921          * Attributes of the (right) base point of the integral.
5922          *
5923          * @type Point
5924          * @name Integral#baseRight
5925          * @see Integral#curveRight
5926          */
5927         baseRight: {      // End point
5928             visible: false,
5929             fixed: false,
5930             withLabel: false,
5931             name: ''
5932         },
5933 
5934         /**
5935          * Attributes for integral label.
5936          *
5937          * @type Label
5938          * @name Integral#label
5939          * @default <pre>{
5940          *      fontSize: 20,
5941          *      digits: 4,
5942          *      intl: {
5943          *          enabled: false,
5944          *          options: {}
5945          *      }
5946          *    }</pre>
5947          */
5948         label: {
5949             fontSize: 20,
5950             digits: 4,
5951             intl: {
5952                 enabled: false,
5953                 options: {}
5954             }
5955         }
5956         /**#@-*/
5957     },
5958 
5959     /* special input options */
5960     input: {
5961         /**#@+
5962          * @visprop
5963          */
5964 
5965         /**
5966          * Control the attribute "disabled" of the HTML input field.
5967          *
5968          * @name disabled
5969          * @memberOf Input.prototype
5970          *
5971          * @type Boolean
5972          * @default false
5973          */
5974         disabled: false,
5975 
5976         /**
5977          * Control the attribute "maxlength" of the HTML input field.
5978          *
5979          * @name maxlength
5980          * @memberOf Input.prototype
5981          *
5982          * @type Number
5983          * @default 524288 (as in HTML)
5984          */
5985         maxlength: 524288,
5986 
5987         display: 'html'
5988 
5989         /**#@-*/
5990     },
5991 
5992     /* special intersection point options */
5993     intersection: {
5994         /**#@+
5995          * @visprop
5996          */
5997 
5998         /**
5999          * Used in {@link JXG.Intersection}.
6000          * This flag sets the behaviour of intersection points of e.g.
6001          * two segments. If true, the intersection is treated as intersection of lines. If false
6002          * the intersection point exists if the segments intersect setwise.
6003          *
6004          * @name Intersection.alwaysIntersect
6005          * @type Boolean
6006          * @default true
6007          */
6008         alwaysIntersect: true
6009 
6010         /**#@-*/
6011     },
6012 
6013     /* special label options */
6014     label: {
6015         /**#@+
6016          * @visprop
6017          */
6018 
6019         visible: 'inherit',
6020         strokeColor: '#000000',
6021         strokeOpacity: 1,
6022         highlightStrokeOpacity: 0.666666,
6023         highlightStrokeColor: '#000000',
6024 
6025         fixed: true,
6026 
6027         /**
6028          * Point labels are positioned by setting {@link Point#anchorX}, {@link Point#anchorY}
6029          * and {@link Label#offset}.
6030          * For line, circle and curve elements (and their derived objects)
6031          * there are two possibilities to position labels.
6032          * <p>
6033          * The first possibility uses the <a href="https://www.tug.org/metapost.html">MetaPost</a> system:
6034          * Possible string values for the position of a label for
6035          * label anchor points are:
6036          * <ul>
6037          * <li> 'first' (lines only)
6038          * <li> 'last' (lines only)
6039          * <li> 'lft'
6040          * <li> 'rt'
6041          * <li> 'top'
6042          * <li> 'bot'
6043          * <li> 'ulft'
6044          * <li> 'urt'
6045          * <li> 'llft'
6046          * <li> 'lrt'
6047          * </ul>
6048          * <p>
6049          * Since v1.9.0 there is a second possibility:
6050          * With <tt>position: 'len side'</tt> the label can be positioned exactly along the
6051          * element's path. Here,
6052          * <ul>
6053          * <li> 'len' is an expression of the form
6054          *   <ul>
6055          *     <li> xfr, denoting a fraction of the whole. x is expected to be a number between 0 and 1.
6056          *     <li> x%, a percentage. x is expected to be a number between 0 and 100.
6057          *     <li> x, a number: only possible for line elements and circles. For lines, the label is positioned x
6058          *          user units from the starting point. For circles, the number is interpreted as degree, e.g. 45°.
6059          *          For everything else, 0 is taken instead.
6060          *     <li> xpx, a pixel value: only possible for line elements.
6061          *          The label is positioned x pixels from the starting point.
6062          *          For non-lines, 0% is taken instead.
6063          *   </ul>
6064          * <li> 'side' is either 'left' or 'right'. The label is positioned to the left or right of the path, when moving from the
6065          * first point to the last. For circles, 'left' means inside of the circle, 'right' means outside of the circle.
6066          * The distance of the label from the path can be controlled by {@link Label#distance}.
6067          * </ul>
6068          * Recommended for this second possibility is to use anchorX: 'middle' and 'anchorY: 'middle'.
6069          *
6070          * @example
6071          * var l1 = board.create('segment', [[-3, 2], [3, 2]], {
6072          *     name: 'l_1',
6073          *     withLabel: true,
6074          *     point1: { visible: true, name: 'A', withLabel: true },
6075          *     point2: { visible: true, name: 'B', withLabel: true },
6076          *     label: {
6077          *         anchorX: 'middle',
6078          *         anchorY: 'middle',
6079          *         offset: [0, 0],
6080          *         distance: 1.2,
6081          *         position: '0.2fr left'
6082          *     }
6083          * });
6084          *
6085          * </pre><div id="JXG66395d34-fd7f-42d9-97dc-14ae8882c11f" class="jxgbox" style="width: 300px; height: 300px;"></div>
6086          * <script type="text/javascript">
6087          *     (function() {
6088          *         var board = JXG.JSXGraph.initBoard('JXG66395d34-fd7f-42d9-97dc-14ae8882c11f',
6089          *             {boundingbox: [-5, 5, 5, -5], axis: true, showcopyright: false, shownavigation: false});
6090          *     var l1 = board.create('segment', [[-3, 2], [3, 2]], {
6091          *         name: 'l_1',
6092          *         withLabel: true,
6093          *         point1: { visible: true, name: 'A', withLabel: true },
6094          *         point2: { visible: true, name: 'B', withLabel: true },
6095          *         label: {
6096          *             anchorX: 'middle',
6097          *             anchorY: 'middle',
6098          *             offset: [0, 0],
6099          *             distance: 1.2,
6100          *             position: '0.2fr left'
6101          *         }
6102          *     });
6103          *
6104          *     })();
6105          *
6106          * </script><pre>
6107          *
6108          * @example
6109          * var c1 = board.create('circle', [[0, 0], 3], {
6110          *     name: 'c_1',
6111          *     withLabel: true,
6112          *     label: {
6113          *         anchorX: 'middle',
6114          *         anchorY: 'middle',
6115          *         offset: [0, 0],
6116          *         fontSize: 32,
6117          *         distance: 1.5,
6118          *         position: '50% right'
6119          *     }
6120          * });
6121          *
6122          * </pre><div id="JXG98ee16ab-fc5f-476c-bf57-0107ac69d91e" class="jxgbox" style="width: 300px; height: 300px;"></div>
6123          * <script type="text/javascript">
6124          *     (function() {
6125          *         var board = JXG.JSXGraph.initBoard('JXG98ee16ab-fc5f-476c-bf57-0107ac69d91e',
6126          *             {boundingbox: [-5, 5, 5, -5], axis: true, showcopyright: false, shownavigation: false});
6127          *     var c1 = board.create('circle', [[0, 0], 3], {
6128          *         name: 'c_1',
6129          *         withLabel: true,
6130          *         label: {
6131          *             anchorX: 'middle',
6132          *             anchorY: 'middle',
6133          *             offset: [0, 0],
6134          *             fontSize: 32,
6135          *             distance: 1.5,
6136          *             position: '50% right'
6137          *         }
6138          *     });
6139          *
6140          *     })();
6141          *
6142          * </script><pre>
6143          *
6144          * @example
6145          * var cu1 = board.create('functiongraph', ['3 * sin(x)', -3, 3], {
6146          *     name: 'cu_1',
6147          *     withLabel: true,
6148          *     label: {
6149          *         anchorX: 'middle',
6150          *         anchorY: 'middle',
6151          *         offset: [0, 0],
6152          *         distance: 2,
6153          *         position: '0.8fr right'
6154          *     }
6155          * });
6156          *
6157          * </pre><div id="JXG65b2edee-12d8-48a1-94b2-d6e79995de8c" class="jxgbox" style="width: 300px; height: 300px;"></div>
6158          * <script type="text/javascript">
6159          *     (function() {
6160          *         var board = JXG.JSXGraph.initBoard('JXG65b2edee-12d8-48a1-94b2-d6e79995de8c',
6161          *             {boundingbox: [-5, 5, 5, -5], axis: true, showcopyright: false, shownavigation: false});
6162          *     var cu1 = board.create('functiongraph', ['3 * sin(x)', -3, 3], {
6163          *         name: 'cu_1',
6164          *         withLabel: true,
6165          *         label: {
6166          *             anchorX: 'middle',
6167          *             anchorY: 'middle',
6168          *             offset: [0, 0],
6169          *             distance: 2,
6170          *             position: '0.8fr right'
6171          *         }
6172          *     });
6173          *
6174          *     })();
6175          *
6176          * </script><pre>
6177          *
6178          * @example
6179          * var A = board.create('point', [-1, 4]);
6180          * var B = board.create('point', [-1, -4]);
6181          * var C = board.create('point', [1, 1]);
6182          * var cu2 = board.create('ellipse', [A, B, C], {
6183          *     name: 'cu_2',
6184          *     withLabel: true,
6185          *     label: {
6186          *         anchorX: 'middle',
6187          *         anchorY: 'middle',
6188          *         offset: [0, 0],
6189          *         fontSize: 20,
6190          *         distance: 1.5,
6191          *         position: '75% right'
6192          *     }
6193          * });
6194          *
6195          * </pre><div id="JXG9c3b2213-1b5a-4cb8-b547-a8d179b851f2" class="jxgbox" style="width: 300px; height: 300px;"></div>
6196          * <script type="text/javascript">
6197          *     (function() {
6198          *         var board = JXG.JSXGraph.initBoard('JXG9c3b2213-1b5a-4cb8-b547-a8d179b851f2',
6199          *             {boundingbox: [-5, 5, 5, -5], axis: true, showcopyright: false, shownavigation: false});
6200          *     var A = board.create('point', [-1, 4]);
6201          *     var B = board.create('point', [-1, -4]);
6202          *     var C = board.create('point', [1, 1]);
6203          *     var cu2 = board.create('ellipse', [A, B, C], {
6204          *         name: 'cu_2',
6205          *         withLabel: true,
6206          *         label: {
6207          *             anchorX: 'middle',
6208          *             anchorY: 'middle',
6209          *             offset: [0, 0],
6210          *             fontSize: 20,
6211          *             distance: 1.5,
6212          *             position: '75% right'
6213          *         }
6214          *     });
6215          *
6216          *     })();
6217          *
6218          * </script><pre>
6219          *
6220          *
6221          * @name Label#position
6222          * @type String
6223          * @default 'urt'
6224          * @see Label#distance
6225          * @see Label#offset
6226          */
6227         position: 'urt',
6228 
6229         /**
6230          * Distance of the label from a path element, like line, circle, curve.
6231          * The true distance is this value multiplied by 0.5 times the size of the bounding box of the label text.
6232          * That means, with a value of 1 the label will touch the path element.
6233          * @name Label#distance
6234          * @type Number
6235          * @default 1.5
6236          *
6237          * @see Label#position
6238          *
6239          */
6240         distance: 1.5,
6241 
6242         /**
6243          *  Label offset from label anchor.
6244          *  The label anchor is determined by {@link Label#position}
6245          *
6246          * @name Label#offset
6247          * @see Label#position
6248          * @type Array
6249          * @default [10,10]
6250          */
6251         offset: [10, 10],
6252 
6253         /**
6254          * Automatic position of label text. When called first, the positioning algorithm
6255          * starts at the position defined by offset.
6256          * The algorithm tries to find a position with the least number of
6257          * overlappings with other elements, while retaining the distance
6258          * to the anchor element.
6259          *
6260          * @name Label#autoPosition
6261          * @see Label#offset
6262          * @type Boolean
6263          * @default false
6264          *
6265          * @example
6266          * 	var p1 = board.create('point', [-2, 1], {id: 'A'});
6267          * 	var p2 = board.create('point', [-0.85, 1], {
6268          *      name: 'B', id: 'B', label:{autoPosition: true, offset:[10, 10]}
6269          *  });
6270          * 	var p3 = board.create('point', [-1, 1.2], {
6271          *      name: 'C', id: 'C', label:{autoPosition: true, offset:[10, 10]}
6272          *  });
6273          *  var c = board.create('circle', [p1, p2]);
6274          * 	var l = board.create('line', [p1, p2]);
6275          *
6276          * </pre><div id="JXG7d4dafe7-1a07-4d3f-95cb-bfed9d96dea2" class="jxgbox" style="width: 300px; height: 300px;"></div>
6277          * <script type="text/javascript">
6278          *     (function() {
6279          *         var board = JXG.JSXGraph.initBoard('JXG7d4dafe7-1a07-4d3f-95cb-bfed9d96dea2',
6280          *             {boundingbox: [-8, 8, 8,-8], axis: true, showcopyright: false, shownavigation: false});
6281          *     	var p1 = board.create('point', [-2, 1], {id: 'A'});
6282          *     	var p2 = board.create('point', [-0.85, 1], {name: 'B', id: 'B', label:{autoPosition: true, offset:[10, 10]}});
6283          *     	var p3 = board.create('point', [-1, 1.2], {name: 'C', id: 'C', label:{autoPosition: true, offset:[10, 10]}});
6284          *      var c = board.create('circle', [p1, p2]);
6285          *     	var l = board.create('line', [p1, p2]);
6286          *
6287          *     })();
6288          *
6289          * </script><pre>
6290          *
6291          *
6292          */
6293         autoPosition: false,
6294 
6295         /**
6296          * The auto position algorithm tries to put a label to a conflict-free
6297          * position around it's anchor element. For this, the algorithm tests 12 positions
6298          * around the anchor element starting at a distance from the anchor
6299          * defined here (in pixel).
6300          *
6301          * @name Label#autoPositionMinDistance
6302          * @see Label#autoPosition
6303          * @see Label#autoPositionMaxDistance
6304          * @type Number
6305          * @default 12
6306          *
6307          */
6308         autoPositionMinDistance: 12,
6309 
6310         /**
6311          * The auto position algorithm tries to put a label to a conflict-free
6312          * position around it's anchor element. For this, the algorithm tests 12 positions
6313          * around the anchor element up to a distance from the anchor
6314          * defined here (in pixel).
6315          *
6316          * @name Label#autoPositionMaxDistance
6317          * @see Label#autoPosition
6318          * @see Label#autoPositionMinDistance
6319          * @type Number
6320          * @default 28
6321          *
6322          */
6323         autoPositionMaxDistance: 28
6324 
6325         /**#@-*/
6326     },
6327 
6328     /* special legend options */
6329     legend: {
6330         /**
6331          * @visprop
6332          */
6333 
6334         /**
6335          * Default style of a legend element. The only possible value is 'vertical'.
6336          * @name Legend#style
6337          * @type String
6338          * @default 'vertical'
6339          */
6340         style: 'vertical',
6341 
6342         /**
6343          * Label names of a legend element.
6344          * @name Legend#labels
6345          * @type Array
6346          * @default "['1', '2', '3', '4', '5', '6', '7', '8']"
6347          */
6348         labels: ['1', '2', '3', '4', '5', '6', '7', '8'],
6349 
6350         /**
6351          * (Circular) array of label colors.
6352          * @name Legend#colors
6353          * @type Array
6354          * @default "['#B02B2C', '#3F4C6B', '#C79810', '#D15600', '#FFFF88', '#c3d9ff', '#4096EE', '#008C00']"
6355          */
6356         colors: ['#B02B2C', '#3F4C6B', '#C79810', '#D15600', '#FFFF88', '#c3d9ff', '#4096EE', '#008C00'],
6357 
6358         /**
6359          * Height (in px) of one legend entry
6360          * @name Legend#rowHeight
6361          * @type Number
6362          * @default 20
6363          *
6364          */
6365         rowHeight: 20,
6366 
6367         strokeWidth: 5
6368 
6369         /**#@-*/
6370     },
6371 
6372     /* special line options */
6373     line: {
6374         /**#@+
6375          * @visprop
6376          */
6377 
6378         /**
6379          * Configure the arrow head at the position of its first point or the corresponding
6380          * intersection with the canvas border
6381          *
6382          * The attribute firstArrow can be a Boolean or an object with the following sub-attributes:
6383          * <pre>
6384          * {
6385          *      type: 1, // possible values are 1, 2, ..., 7. Default value is 1.
6386          *      size: 6, // size of the arrow head. Default value is 6.
6387          *               // This value is multiplied with the strokeWidth of the line
6388          *               // Exception: for type=7 size is ignored
6389          *      highlightSize: 6, // size of the arrow head in case the element is highlighted. Default value
6390          * }
6391          * </pre>
6392          * type=7 is the default for curves if firstArrow: true
6393          * <p>
6394          * An arrow head can be turned off with line.setAttribute({firstArrow: false}).
6395          *
6396          * @example
6397          *     board.options.line.lastArrow = false;
6398          *     board.options.line.firstArrow = {size: 10, highlightSize: 10};
6399          *     board.options.line.point1 = {visible: false, withLabel: true, label: {visible: true, anchorX: 'right'}};
6400          *     board.options.line.strokeWidth = 4;
6401          *     board.options.line.highlightStrokeWidth = 4;
6402          *
6403          *     board.create('segment', [[-5,4], [3,4]], {firstArrow: {type: 1}, point1: {name: 'type:1'}});
6404          *     board.create('segment', [[-5,3], [3,3]], {firstArrow: {type: 2}, point1: {name: 'type:2'}});
6405          *     board.create('segment', [[-5,2], [3,2]], {firstArrow: {type: 3}, point1: {name: 'type:3'}});
6406          *     board.create('segment', [[-5,1], [3,1]], {firstArrow: {type: 4}, point1: {name: 'type:4'}});
6407          *     board.create('segment', [[-5,0], [3,0]], {firstArrow: {type: 5}, point1: {name: 'type:5'}});
6408          *     board.create('segment', [[-5,-1], [3,-1]], {firstArrow: {type: 6}, point1: {name: 'type:6'}});
6409          *     board.create('segment', [[-5,-2], [3,-2]], {firstArrow: {type: 7}, point1: {name: 'type:7'}});
6410          *
6411          * </pre><div id="JXGc94a93da-c942-4204-8bb6-b39726cbb09b" class="jxgbox" style="width: 300px; height: 300px;"></div>
6412          * <script type="text/javascript">
6413          *     (function() {
6414          *         var board = JXG.JSXGraph.initBoard('JXGc94a93da-c942-4204-8bb6-b39726cbb09b',
6415          *             {boundingbox: [-6, 6, 4,-4], axis: false, showcopyright: false, shownavigation: false});
6416          *         board.options.line.lastArrow = false;
6417          *         board.options.line.firstArrow = {size: 10, highlightSize: 10};
6418          *         board.options.line.point1 = {visible: false, withLabel: true, label: {visible: true, anchorX: 'right'}};
6419          *         board.options.line.strokeWidth = 4;
6420          *         board.options.line.highlightStrokeWidth = 4;
6421          *
6422          *         board.create('segment', [[-5,4], [3,4]], {firstArrow: {type: 1}, point1: {name: 'type:1'}});
6423          *         board.create('segment', [[-5,3], [3,3]], {firstArrow: {type: 2}, point1: {name: 'type:2'}});
6424          *         board.create('segment', [[-5,2], [3,2]], {firstArrow: {type: 3}, point1: {name: 'type:3'}});
6425          *         board.create('segment', [[-5,1], [3,1]], {firstArrow: {type: 4}, point1: {name: 'type:4'}});
6426          *         board.create('segment', [[-5,0], [3,0]], {firstArrow: {type: 5}, point1: {name: 'type:5'}});
6427          *         board.create('segment', [[-5,-1], [3,-1]], {firstArrow: {type: 6}, point1: {name: 'type:6'}});
6428          *         board.create('segment', [[-5,-2], [3,-2]], {firstArrow: {type: 7}, point1: {name: 'type:7'}});
6429          *
6430          *     })();
6431          *
6432          * </script><pre>
6433          *
6434          * @name Line#firstArrow
6435          * @see Line#lastArrow
6436          * @see Line#touchFirstPoint
6437          * @type Boolean | Object
6438          * @default false
6439          */
6440         firstArrow: false,
6441 
6442         /**
6443          * Configure the arrow head at the position of its second point or the corresponding
6444          * intersection with the canvas border.
6445          *
6446          * The attribute lastArrow can be a Boolean or an object with the following sub-attributes:
6447          * <pre>
6448          * {
6449          *      type: 1, // possible values are 1, 2, ..., 7. Default value is 1.
6450          *      size: 6, // size of the arrow head. Default value is 6.
6451          *               // This value is multiplied with the strokeWidth of the line.
6452          *               // Exception: for type=7 size is ignored
6453          *      highlightSize: 6, // size of the arrow head in case the element is highlighted. Default value is 6.
6454          * }
6455          * </pre>
6456          * type=7 is the default for curves if lastArrow: true
6457          * <p>
6458          * An arrow head can be turned off with line.setAttribute({lastArrow: false}).
6459          *
6460          * @example
6461          *     var p1 = board.create('point', [-5, 2], {size:1});
6462          *     var p2 = board.create('point', [5, 2], {size:10});
6463          *     var li = board.create('segment', ['A','B'],
6464          *         {name:'seg',
6465          *          strokeColor:'#000000',
6466          *          strokeWidth:1,
6467          *          highlightStrokeWidth: 5,
6468          *          lastArrow: {type: 2, size: 8, highlightSize: 6},
6469          *          touchLastPoint: true,
6470          *          firstArrow: {type: 3, size: 8}
6471          *         });
6472          *
6473          * </pre><div id="JXG184e915c-c2ef-11e8-bece-04d3b0c2aad3" class="jxgbox" style="width: 300px; height: 300px;"></div>
6474          * <script type="text/javascript">
6475          *     (function() {
6476          *         var board = JXG.JSXGraph.initBoard('JXG184e915c-c2ef-11e8-bece-04d3b0c2aad3',
6477          *             {boundingbox: [-8, 8, 8,-8], axis: true, showcopyright: false, shownavigation: false});
6478          *         var p1 = board.create('point', [-5, 2], {size:1});
6479          *         var p2 = board.create('point', [5, 2], {size:10});
6480          *         var li = board.create('segment', ['A','B'],
6481          *             {name:'seg',
6482          *              strokeColor:'#000000',
6483          *              strokeWidth:1,
6484          *              highlightStrokeWidth: 5,
6485          *              lastArrow: {type: 2, size: 8, highlightSize: 6},
6486          *              touchLastPoint: true,
6487          *              firstArrow: {type: 3, size: 8}
6488          *             });
6489          *     })();
6490          *
6491          * </script>
6492          *
6493          * @example
6494          *     board.options.line.strokeWidth = 4;
6495          *     board.options.line.highlightStrokeWidth = 4;
6496          *     board.options.line.firstArrow = false;
6497          *     board.options.line.lastArrow = {size: 10, highlightSize: 10};
6498          *     board.options.line.point2 = {visible: false, withLabel: true, label: {visible: true}};
6499          *
6500          *     board.create('segment', [[-5,4], [3,4]], {lastArrow: {type: 1}, point2: {name: 'type:1'}});
6501          *     board.create('segment', [[-5,3], [3,3]], {lastArrow: {type: 2}, point2: {name: 'type:2'}});
6502          *     board.create('segment', [[-5,2], [3,2]], {lastArrow: {type: 3}, point2: {name: 'type:3'}});
6503          *     board.create('segment', [[-5,1], [3,1]], {lastArrow: {type: 4}, point2: {name: 'type:4'}});
6504          *     board.create('segment', [[-5,0], [3,0]], {lastArrow: {type: 5}, point2: {name: 'type:5'}});
6505          *     board.create('segment', [[-5,-1], [3,-1]], {lastArrow: {type: 6}, point2: {name: 'type:6'}});
6506          *     board.create('segment', [[-5,-2], [3,-2]], {lastArrow: {type: 7}, point2: {name: 'type:7'}});
6507          *
6508          * </pre><div id="JXGca206b1c-e319-4899-8b90-778f53fd926d" class="jxgbox" style="width: 300px; height: 300px;"></div>
6509          * <script type="text/javascript">
6510          *     (function() {
6511          *         var board = JXG.JSXGraph.initBoard('JXGca206b1c-e319-4899-8b90-778f53fd926d',
6512          *             {boundingbox: [-6, 6, 6,-4], axis: false, showcopyright: false, shownavigation: false});
6513          *         board.options.line.strokeWidth = 4;
6514          *         board.options.line.highlightStrokeWidth = 4;
6515          *         board.options.line.firstArrow = false;
6516          *         board.options.line.lastArrow = {size: 10, highlightSize: 10};
6517          *         board.options.line.point2 = {visible: false, withLabel: true, label: {visible: true}};
6518          *
6519          *         board.create('segment', [[-5,4], [3,4]], {lastArrow: {type: 1}, point2: {name: 'type:1'}});
6520          *         board.create('segment', [[-5,3], [3,3]], {lastArrow: {type: 2}, point2: {name: 'type:2'}});
6521          *         board.create('segment', [[-5,2], [3,2]], {lastArrow: {type: 3}, point2: {name: 'type:3'}});
6522          *         board.create('segment', [[-5,1], [3,1]], {lastArrow: {type: 4}, point2: {name: 'type:4'}});
6523          *         board.create('segment', [[-5,0], [3,0]], {lastArrow: {type: 5}, point2: {name: 'type:5'}});
6524          *         board.create('segment', [[-5,-1], [3,-1]], {lastArrow: {type: 6}, point2: {name: 'type:6'}});
6525          *         board.create('segment', [[-5,-2], [3,-2]], {lastArrow: {type: 7}, point2: {name: 'type:7'}});
6526          *     })();
6527          *
6528          * </script><pre>
6529          *
6530          * @name Line#lastArrow
6531          * @see Line#firstArrow
6532          * @see Line#touchLastPoint
6533          * @type Boolean | Object
6534          * @default false
6535          */
6536         lastArrow: false,
6537 
6538         /**
6539          * This number (pixel value) controls where infinite lines end at the canvas border. If zero, the line
6540          * ends exactly at the border, if negative there is a margin to the inside, if positive the line
6541          * ends outside of the canvas (which is invisible).
6542          *
6543          * @name Line#margin
6544          * @type Number
6545          * @default 0
6546          */
6547         margin: 0,
6548 
6549         /**
6550          * If true, line stretches infinitely in direction of its first point.
6551          * Otherwise it ends at point1.
6552          *
6553          * @name Line#straightFirst
6554          * @see Line#straightLast
6555          * @type Boolean
6556          * @default true
6557          */
6558         straightFirst: true,
6559 
6560         /**
6561          * If true, line stretches infinitely in direction of its second point.
6562          * Otherwise it ends at point2.
6563          *
6564          * @name Line#straightLast
6565          * @see Line#straightFirst
6566          * @type Boolean
6567          * @default true
6568          */
6569         straightLast: true,
6570 
6571         fillColor: 'none',           // Important for VML on IE
6572         highlightFillColor: 'none',  // Important for VML on IE
6573         strokeColor: Color.palette.blue,
6574         highlightStrokeColor: '#c3d9ff',
6575         withTicks: false,
6576 
6577         /**
6578          * Attributes for first defining point of the line.
6579          *
6580          * @type Point
6581          * @name Line#point1
6582          */
6583         point1: {                  // Default values for point1 if created by line
6584             fillColor: Color.palette.red,
6585             strokeColor: Color.palette.red,
6586             highlightFillColor: '#c3d9ff',
6587             highlightStrokeColor: '#c3d9ff',
6588             layer: 9,
6589 
6590             visible: false,
6591             withLabel: false,
6592             fixed: false,
6593             name: ''
6594         },
6595 
6596         /**
6597          * Attributes for second defining point of the line.
6598          *
6599          * @type Point
6600          * @name Line#point2
6601          */
6602         point2: {                  // Default values for point2 if created by line
6603             fillColor: Color.palette.red,
6604             strokeColor: Color.palette.red,
6605             highlightFillColor: '#c3d9ff',
6606             highlightStrokeColor: '#c3d9ff',
6607             layer: 9,
6608 
6609             visible: false,
6610             withLabel: false,
6611             fixed: false,
6612             name: ''
6613         },
6614 
6615         /**
6616          * Attributes for ticks of the line.
6617          *
6618          * @name Line#ticks
6619          * @type Object
6620          * @see Ticks
6621          */
6622         ticks: {
6623             drawLabels: true,
6624             label: {
6625                 offset: [4, -12 + 3] // This seems to be a good offset for 12 point fonts
6626             },
6627             drawZero: false,
6628             insertTicks: false,
6629             ticksDistance: 1,
6630             minTicksDistance: 50,
6631             minorHeight: 4,          // if <0: full width and height
6632             majorHeight: -1,         // if <0: full width and height
6633             minorTicks: 4,
6634             strokeOpacity: 0.3,
6635             visible: 'inherit'
6636         },
6637 
6638         /**
6639          * Attributes for the line label.
6640          *
6641          * @type Object
6642          * @name Line#label
6643          * @see Label
6644          */
6645         label: {
6646             position: 'llft'
6647         },
6648 
6649         /**
6650          * If set to true, the point will snap to a grid defined by
6651          * {@link Point#snapSizeX} and {@link Point#snapSizeY}.
6652          *
6653          * @see Point#snapSizeX
6654          * @see Point#snapSizeY
6655          * @type Boolean
6656          * @name Line#snapToGrid
6657          * @default false
6658          */
6659         snapToGrid: false,
6660 
6661         /**
6662          * Defines together with {@link Point#snapSizeY} the grid the point snaps on to.
6663          * The point will only snap on integer multiples to snapSizeX in x and snapSizeY in y direction.
6664          * If this value is equal to or less than <tt>0</tt>, it will use the grid displayed by the major ticks
6665          * of the default ticks of the default x axes of the board.
6666          *
6667          * @see Point#snapToGrid
6668          * @see Point#snapSizeY
6669          * @see JXG.Board#defaultAxes
6670          * @type Number
6671          * @name Line#snapSizeX
6672          * @default 1
6673          */
6674         snapSizeX: 1,
6675 
6676         /**
6677          * Defines together with {@link Point#snapSizeX} the grid the point snaps on to.
6678          * The point will only snap on integer multiples to snapSizeX in x and snapSizeY in y direction.
6679          * If this value is equal to or less than <tt>0</tt>, it will use the grid displayed by the major ticks
6680          * of the default ticks of the default y axes of the board.
6681          *
6682          * @see Point#snapToGrid
6683          * @see Point#snapSizeX
6684          * @see JXG.Board#defaultAxes
6685          * @type Number
6686          * @name Line#snapSizeY
6687          * @default 1
6688          */
6689         snapSizeY: 1,
6690 
6691         /**
6692          * If set to true, {@link Line#firstArrow} is set to true and the point is visible,
6693          * the arrow head will just touch the circle line of the start point of the line.
6694          *
6695          * @see Line#firstArrow
6696          * @type Boolean
6697          * @name Line#touchFirstPoint
6698          * @default false
6699          */
6700         touchFirstPoint: false,
6701 
6702         /**
6703          * If set to true, {@link Line#lastArrow} is set to true and the point is visible,
6704          * the arrow head will just touch the circle line of the start point of the line.
6705          * @see Line#firstArrow
6706          * @type Boolean
6707          * @name Line#touchLastPoint
6708          * @default false
6709          */
6710         touchLastPoint: false
6711 
6712         /**#@-*/
6713     },
6714 
6715     /* special options for locus curves */
6716     locus: {
6717         /**#@+
6718          * @visprop
6719          */
6720 
6721         translateToOrigin: false,
6722         translateTo10: false,
6723         stretch: false,
6724         toOrigin: null,
6725         to10: null
6726         /**#@-*/
6727     },
6728 
6729     /* special measurement options */
6730     measurement: {
6731         /**#@+
6732          * @visprop
6733          */
6734 
6735         baseUnit: '',
6736         units: {},
6737         dim: null,
6738 
6739         showPrefix: true,
6740         showSuffix: true,
6741 
6742         prefix: '',
6743         suffix: '',
6744 
6745         formatPrefix: function (txt) { return txt; },
6746         formatSuffix: function (txt) { return txt; },
6747 
6748         formatCoords: function (x, y, z) {
6749             return '(' + x + ', ' + y + ')';
6750         },
6751         formatDirection: function (x, y) {
6752             return '(' + x + ', ' + y + ')';
6753         }
6754 
6755         /**#@-*/
6756     },
6757 
6758     /* special metapost spline options */
6759     metapostspline: {
6760         /**#@+
6761          * @visprop
6762          */
6763 
6764         /**
6765           * Controls if the data points of the cardinal spline when given as
6766           * arrays should be converted into {@link JXG.Points}.
6767           *
6768           * @name createPoints
6769           * @memberOf Metapostspline.prototype
6770           *
6771           * @see Metapostspline#points
6772           *
6773           * @type Boolean
6774           * @default true
6775           */
6776         createPoints: true,
6777 
6778         /**
6779          * If set to true, the supplied coordinates are interpreted as
6780          * [[x_0, y_0], [x_1, y_1], p, ...].
6781          * Otherwise, if the data consists of two arrays of equal length,
6782          * it is interpreted as
6783          * [[x_o x_1, ..., x_n], [y_0, y_1, ..., y_n]]
6784          *
6785          * @name isArrayOfCoordinates
6786          * @memberOf Metapostspline.prototype
6787          * @type Boolean
6788          * @default true
6789          */
6790         isArrayOfCoordinates: true,
6791 
6792         /**
6793          * Attributes for the points generated by Metapost spline in cases
6794          * {@link createPoints} is set to true
6795          *
6796          * @name points
6797          * @memberOf Metapostspline.prototype
6798          *
6799          * @see Metapostspline#createPoints
6800          * @type Object
6801          */
6802         points: {
6803             strokeOpacity: 0.5,
6804             fillOpacity: 0.5,
6805             highlightStrokeOpacity: 1.0,
6806             highlightFillOpacity: 1.0,
6807             withLabel: false,
6808             name: '',
6809             fixed: false
6810         }
6811 
6812         /**#@-*/
6813     },
6814 
6815     /* special mirrorelement options */
6816     mirrorelement: {
6817         /**#@+
6818          * @visprop
6819          */
6820 
6821         fixed: true,
6822 
6823         /**
6824          * Attributes of mirror point, i.e. the point along which the element is mirrored.
6825          *
6826          * @type Point
6827          * @name mirrorelement#point
6828          */
6829         point: {},
6830 
6831         /**
6832          * Attributes of circle center, i.e. the center of the circle,
6833          * if a circle is the mirror element and the transformation type is 'Euclidean'
6834          *
6835          * @type Point
6836          * @name mirrorelement#center
6837          */
6838         center: {},
6839 
6840         /**
6841          * Type of transformation. Possible values are 'Euclidean', 'projective'.
6842          *
6843          * If the value is 'Euclidean', the mirror element of a circle is again a circle,
6844          * otherwise it is a conic section.
6845          *
6846          * @type String
6847          * @name mirrorelement#type
6848          * @default 'Euclidean'
6849          */
6850         type: 'Euclidean'
6851 
6852         /**#@-*/
6853     },
6854 
6855     /* special nonreflexangle options */
6856     nonreflexangle: {
6857         /**#@+
6858          * @visprop
6859          */
6860 
6861         /**#@-*/
6862     },
6863 
6864     // /* special options for Msector of 3 points */
6865     // msector: {
6866     //     strokeColor: '#000000', // Msector line
6867     //     point: {               // Msector point
6868     //         visible: false,
6869     //         fixed: false,
6870     //         withLabel: false,
6871     //         name: ''
6872     //     }
6873     // },
6874 
6875     /* special options for normal lines */
6876     normal: {
6877         /**#@+
6878          * @visprop
6879          */
6880 
6881         strokeColor: '#000000', //  normal line
6882 
6883         /**
6884          * Attributes of helper point of normal.
6885          *
6886          * @type Point
6887          * @name Normal#point
6888          */
6889         point: {
6890             visible: false,
6891             fixed: false,
6892             withLabel: false,
6893             name: ''
6894         }
6895         /**#@-*/
6896     },
6897 
6898     /* special options for orthogonal projection points */
6899     orthogonalprojection: {
6900         /**#@+
6901          * @visprop
6902          */
6903         /**#@-*/
6904     },
6905 
6906     /* special otherintersection point options */
6907     otherintersection: {
6908         /**#@+
6909          * @visprop
6910          */
6911 
6912         /**
6913          * This flag sets the behavior of other intersection points of e.g.
6914          * a circle and a segment. If true, the intersection is treated as intersection with a line. If false
6915          * the intersection point exists if the segment intersects setwise.
6916          *
6917          * @name Otherintersection.alwaysIntersect
6918          * @type Boolean
6919          * @default true
6920          */
6921         alwaysIntersect: true,
6922 
6923         /**
6924          * Minimum distance (in user coordinates) for points to be defined as different.
6925          * For implicit curves and other non approximate curves this number might have to be
6926          * increased.
6927          *
6928          * @name Otherintersection.precision
6929          * @type Number
6930          * @default 0.001
6931          */
6932         precision: 0.001
6933 
6934         /**#@-*/
6935     },
6936 
6937     /* special options for parallel lines */
6938     parallel: {
6939         /**#@+
6940          * @visprop
6941          */
6942 
6943         strokeColor: '#000000', // Parallel line
6944 
6945         /**
6946          * Attributes of helper point of normal.
6947          *
6948          * @type Point
6949          * @name Parallel#point
6950          */
6951         point: {
6952             visible: false,
6953             fixed: false,
6954             withLabel: false,
6955             name: ''
6956         },
6957 
6958         label: {
6959             position: 'llft'
6960         }
6961         /**#@-*/
6962     },
6963 
6964     /* special parallelogram options */
6965     parallelogram: {
6966         parallelpoint: {
6967             withLabel: false,
6968             name: ''
6969         }
6970     },
6971 
6972     /* special parallelpoint options */
6973     parallelpoint: {
6974     },
6975 
6976     /* special perpendicular options */
6977     perpendicular: {
6978         /**#@+
6979          * @visprop
6980          */
6981 
6982         strokeColor: '#000000', // Perpendicular line
6983         straightFirst: true,
6984         straightLast: true
6985         /**#@-*/
6986     },
6987 
6988     /* special perpendicular options */
6989     perpendicularsegment: {
6990         /**#@+
6991          * @visprop
6992          */
6993 
6994         strokeColor: '#000000', // Perpendicular segment
6995         straightFirst: false,
6996         straightLast: false,
6997         point: {               // Perpendicular point
6998             visible: false,
6999             fixed: true,
7000             withLabel: false,
7001             name: ''
7002         }
7003         /**#@-*/
7004     },
7005 
7006     /* special point options */
7007     point: {
7008         /**#@+
7009          * @visprop
7010          */
7011 
7012         withLabel: true,
7013         label: {},
7014 
7015         /**
7016          * This attribute was used to determined the point layout. It was derived from GEONExT and was
7017          * replaced by {@link Point#face} and {@link Point#size}.
7018          *
7019          * @name Point#style
7020          *
7021          * @see Point#face
7022          * @see Point#size
7023          * @type Number
7024          * @default 5
7025          * @deprecated
7026          */
7027         style: 5,
7028 
7029         /**
7030          * There are different point styles which differ in appearance.
7031          * Posssible values are
7032          * <table>
7033          * <tr><th>Input</th><th>Output</th></tr>
7034          * <tr><td>cross</td><td>x</td></tr>
7035          * <tr><td>circle</td><td>o</td></tr>
7036          * <tr><td>square, []</td><td>[]</td></tr>
7037          * <tr><td>plus</td><td>+</td></tr>
7038          * <tr><td>minus</td><td>-</td></tr>
7039          * <tr><td>divide</td><td>|</td></tr>
7040          * <tr><td>diamond</td><td><></td></tr>
7041          * <tr><td>diamond2</td><td><> (bigger)</td></tr>
7042          * <tr><td>triangleup</td><td>^, a, A</td></tr>
7043          * <tr><td>triangledown</td><td>v</td></tr>
7044          * <tr><td>triangleleft</td><td><</td></tr>
7045          * <tr><td>triangleright</td><td>></td></tr>
7046          * </table>
7047          *
7048          * @name Point#face
7049          *
7050          * @type String
7051          * @see JXG.Point#setStyle
7052          * @default circle
7053          */
7054         face: 'o',
7055 
7056         /**
7057          * Size of a point, either in pixel or user coordinates.
7058          * Means radius resp. half the width of a point (depending on the face).
7059          *
7060          * @name Point#size
7061          *
7062          * @see Point#face
7063          * @see JXG.Point#setStyle
7064          * @see Point#sizeUnit
7065          * @type Number
7066          * @default 3
7067          */
7068         size: 3,
7069 
7070         /**
7071          * Unit for size.
7072          * Possible values are 'screen' and 'user.
7073          *
7074          * @name Point#sizeUnit
7075          *
7076          * @see Point#size
7077          * @type String
7078          * @default 'screen'
7079          */
7080         sizeUnit: 'screen',
7081 
7082         strokeWidth: 2,
7083 
7084         transitionProperties: ['fill', 'fill-opacity', 'stroke', 'stroke-opacity', 'stroke-width', 'width', 'height', 'rx', 'ry'],
7085         fillColor: Color.palette.red,
7086         strokeColor: Color.palette.red,
7087         highlightFillColor: '#c3d9ff',
7088         highlightStrokeColor: '#c3d9ff',
7089         // strokeOpacity: 1.0,
7090         // fillOpacity: 1.0,
7091         // highlightFillOpacity: 0.5,
7092         // highlightStrokeOpacity: 0.5,
7093 
7094         // fillColor: '#ff0000',
7095         // highlightFillColor: '#eeeeee',
7096         // strokeWidth: 2,
7097         // strokeColor: '#ff0000',
7098         // highlightStrokeColor: '#c3d9ff',
7099 
7100         /**
7101          * If true, the point size changes on zoom events.
7102          *
7103          * @type Boolean
7104          * @name Point#zoom
7105          * @default false
7106          *
7107          */
7108         zoom: false,             // Change the point size on zoom
7109 
7110         /**
7111          * If true, the infobox is shown on mouse/pen over, if false not.
7112          * If the value is 'inherit', the value of
7113          * {@link JXG.Board#showInfobox} is taken.
7114          *
7115          * @name Point#showInfobox
7116          * @see JXG.Board#showInfobox
7117          * @type Boolean|String
7118          * @description true | false | 'inherit'
7119          * @default true
7120          */
7121         showInfobox: 'inherit',
7122 
7123         /**
7124          * Truncating rule for the digits in the infobox.
7125          * <ul>
7126          * <li>'auto': done automatically by JXG.autoDigits()
7127          * <li>'none': no truncation
7128          * <li>number: truncate after "number digits" with JXG.toFixed()
7129          * </ul>
7130          *
7131          * @name Point#infoboxDigits
7132          *
7133          * @type String| Number
7134          * @default 'auto'
7135          * @see JXG#autoDigits
7136          * @see JXG#toFixed
7137          */
7138         infoboxDigits: 'auto',
7139 
7140         draft: false,
7141 
7142         /**
7143          * List of attractor elements. If the distance of the point is less than
7144          * attractorDistance the point is made to glider of this element.
7145          *
7146          * @name Point#attractors
7147          *
7148          * @type Array
7149          * @default empty
7150          */
7151         attractors: [],
7152 
7153         /**
7154          * Unit for attractorDistance and snatchDistance, used for magnetized points and for snapToPoints.
7155          * Possible values are 'screen' and 'user'.
7156          *
7157          * @name Point#attractorUnit
7158          *
7159          * @see Point#attractorDistance
7160          * @see Point#snatchDistance
7161          * @see Point#snapToPoints
7162          * @see Point#attractors
7163          * @type String
7164          * @default 'user'
7165          */
7166         attractorUnit: 'user',    // 'screen', 'user'
7167 
7168         /**
7169          * If the distance of the point to one of its attractors is less
7170          * than this number the point will be a glider on this
7171          * attracting element.
7172          * If set to zero nothing happens.
7173          *
7174          * @name Point#attractorDistance
7175          *
7176          * @type Number
7177          * @default 0.0
7178          */
7179         attractorDistance: 0.0,
7180 
7181         /**
7182          * If the distance of the point to one of its attractors is at least
7183          * this number the point will be released from being a glider on the
7184          * attracting element.
7185          * If set to zero nothing happens.
7186          *
7187          * @name Point#snatchDistance
7188          *
7189          * @type Number
7190          * @default 0.0
7191          */
7192         snatchDistance: 0.0,
7193 
7194         /**
7195          * If set to true, the point will snap to a grid of integer multiples of
7196          * {@link Point#snapSizeX} and {@link Point#snapSizeY} (in user coordinates).
7197          * <p>
7198          * The coordinates of the grid points are either integer multiples of snapSizeX and snapSizeY
7199          * (given in user coordinates, not pixels) or are the intersection points
7200          * of the major ticks of the boards default axes in case that snapSizeX, snapSizeY are negative.
7201          *
7202          * @name Point#snapToGrid
7203          *
7204          * @see Point#snapSizeX
7205          * @see Point#snapSizeY
7206          * @type Boolean
7207          * @default false
7208          */
7209         snapToGrid: false,
7210 
7211         /**
7212          * If set to true, the point will only snap to (possibly invisibly) grid points
7213          * when within {@link Point#attractorDistance} of such a grid point.
7214          * <p>
7215          * The coordinates of the grid points are either integer multiples of snapSizeX and snapSizeY
7216          * (given in user coordinates, not pixels) or are the intersection points
7217          * of the major ticks of the boards default axes in case that snapSizeX, snapSizeY are negative.
7218          *
7219          * @name Point#attractToGrid
7220          *
7221          * @see Point#attractorDistance
7222          * @see Point#attractorUnit
7223          * @see Point#snapToGrid
7224          * @see Point#snapSizeX
7225          * @see Point#snapSizeY
7226          * @type Boolean
7227          * @default false
7228          *
7229          * @example
7230          * board.create('point', [3, 3], { attractToGrid: true, attractorDistance: 10, attractorunit: 'screen' });
7231          *
7232          * </pre><div id="JXG397ab787-cd40-449c-a7e7-a3f7bab1d4f6" class="jxgbox" style="width: 300px; height: 300px;"></div>
7233          * <script type="text/javascript">
7234          *     (function() {
7235          *         var board = JXG.JSXGraph.initBoard('JXG397ab787-cd40-449c-a7e7-a3f7bab1d4f6',
7236          *             {boundingbox: [-1, 4, 7,-4], axis: true, showcopyright: false, shownavigation: false});
7237          *     board.create('point', [3, 3], { attractToGrid: true, attractorDistance: 10, attractorunit: 'screen' });
7238          *
7239          *     })();
7240          *
7241          * </script><pre>
7242          *
7243          */
7244         attractToGrid: false,
7245 
7246         /**
7247          * Defines together with {@link Point#snapSizeY} the grid the point snaps on to.
7248          * It is given in user coordinates, not in pixels.
7249          * The point will only snap on integer multiples to snapSizeX in x and snapSizeY in y direction.
7250          * If this value is equal to or less than <tt>0</tt>, it will use the grid displayed by the major ticks
7251          * of the default ticks of the default x axes of the board.
7252          *
7253          * @name Point#snapSizeX
7254          *
7255          * @see Point#snapToGrid
7256          * @see Point#snapSizeY
7257          * @see JXG.Board#defaultAxes
7258          * @type Number
7259          * @default 1
7260          */
7261         snapSizeX: 1,
7262 
7263         /**
7264          * Defines together with {@link Point#snapSizeX} the grid the point snaps on to.
7265          * It is given in user coordinates, not in pixels.
7266          * The point will only snap on integer multiples to snapSizeX in x and snapSizeY in y direction.
7267          * If this value is equal to or less than <tt>0</tt>, it will use the grid displayed by the major ticks
7268          * of the default ticks of the default y axes of the board.
7269          *
7270          * @name Point#snapSizeY
7271          *
7272          * @see Point#snapToGrid
7273          * @see Point#snapSizeX
7274          * @see JXG.Board#defaultAxes
7275          * @type Number
7276          * @default 1
7277          */
7278         snapSizeY: 1,
7279 
7280         /**
7281          * If set to true, the point will snap to the nearest point in distance of
7282          * {@link Point#attractorDistance}.
7283          *
7284          * @name Point#snapToPoints
7285          *
7286          * @see Point#attractorDistance
7287          * @type Boolean
7288          * @default false
7289          */
7290         snapToPoints: false,
7291 
7292         /**
7293          * List of elements which are ignored by snapToPoints.
7294          * @name Point#ignoredSnapToPoints
7295          *
7296          * @type Array
7297          * @default empty
7298          */
7299         ignoredSnapToPoints: []
7300 
7301         /**#@-*/
7302     },
7303 
7304     /* special polygon options */
7305     polygon: {
7306         /**#@+
7307          * @visprop
7308          */
7309 
7310         /**
7311          * If <tt>true</tt>, moving the mouse over inner points triggers hasPoint.
7312          *
7313          * @see JXG.GeometryElement#hasPoint
7314          * @name Polygon#hasInnerPoints
7315          * @type Boolean
7316          * @default false
7317          */
7318         hasInnerPoints: false,
7319 
7320         fillColor: Color.palette.yellow,
7321         highlightFillColor: Color.palette.yellow,
7322         // fillColor: '#00ff00',
7323         // highlightFillColor: '#00ff00',
7324         fillOpacity: 0.3,
7325         highlightFillOpacity: 0.2,
7326 
7327         /**
7328          * Is the polygon bordered by lines?
7329          *
7330          * @type Boolean
7331          * @name Polygon#withLines
7332          * @default true
7333          */
7334         withLines: true,
7335 
7336         /**
7337          * Attributes for the polygon border lines.
7338          *
7339          * @type Line
7340          * @name Polygon#borders
7341          */
7342         borders: {
7343             withLabel: false,
7344             strokeWidth: 1,
7345             highlightStrokeWidth: 1,
7346             // Polygon layer + 1
7347             layer: 5,
7348             label: {
7349                 position: 'top'
7350             },
7351             visible: 'inherit'
7352         },
7353 
7354         /**
7355          * By default, the strokewidths of the borders of a polygon are not changed during highlighting (only strokeColor and strokeOpacity are changed
7356          * to highlightStrokeColor, and highlightStrokeOpacity).
7357          * However, strokewidth is changed to highlightStrokewidth if an individual border gets the focus.
7358          * <p>
7359          * With this attribute set to true, also the borders change strokeWidth if the polygon itself gets the focus.
7360          *
7361          * @type Boolean
7362          * @name Polygon#highlightByStrokeWidth
7363          * @default false
7364          */
7365         highlightByStrokeWidth: false,
7366 
7367         /**
7368          * Attributes for the polygon vertices.
7369          *
7370          * @type Point
7371          * @name Polygon#vertices
7372          */
7373         vertices: {
7374             layer: 9,
7375             withLabel: false,
7376             name: '',
7377             strokeColor: Color.palette.red,
7378             fillColor: Color.palette.red,
7379             fixed: false,
7380             visible: 'inherit'
7381         },
7382 
7383         /**
7384          * Attributes for the polygon label.
7385          *
7386          * @type Label
7387          * @name Polygon#label
7388          */
7389         label: {
7390             offset: [0, 0]
7391         }
7392 
7393         /**#@-*/
7394     },
7395 
7396     /* special polygonal chain options
7397     */
7398     polygonalchain: {
7399         /**#@+
7400          * @visprop
7401          */
7402 
7403         fillColor: 'none',
7404         highlightFillColor: 'none'
7405 
7406         /**#@-*/
7407     },
7408 
7409     /* special prescribed angle options
7410     * Not yet implemented. But angle.setAngle(val) is implemented.
7411 
7412     */
7413     prescribedangle: {
7414         /**#@+
7415          * @visprop
7416          */
7417 
7418         /**
7419          * Attributes for the helper point of the prescribed angle.
7420          *
7421          * @type Point
7422          * @name Prescribedangle#anglePoint
7423          * @ignore
7424          */
7425         anglePoint: {
7426             size: 2,
7427             visible: false,
7428             withLabel: false
7429         }
7430 
7431         /**#@-*/
7432     },
7433 
7434     /* special reflection options */
7435     reflection: {
7436         /**#@+
7437          * @visprop
7438          */
7439 
7440         fixed: true,
7441 
7442         /**
7443          * Attributes of circle center, i.e. the center of the circle,
7444          * if a circle is the mirror element and the transformation type is 'Euclidean'
7445          *
7446          * @type center
7447          * @name Reflection#center
7448          */
7449         center: {},
7450 
7451         /**
7452          * Type of transformation. Possible values are 'Euclidean', 'projective'.
7453          *
7454          * If the value is 'Euclidean', the reflected element of a circle is again a circle,
7455          * otherwise it is a conic section.
7456          *
7457          * @type String
7458          * @name Reflection#type
7459          * @default 'Euclidean'
7460          */
7461         type: 'Euclidean'
7462 
7463         /**#@-*/
7464     },
7465 
7466     /* special reflexangle options */
7467     reflexangle: {
7468         /**#@+
7469          * @visprop
7470          */
7471 
7472         /**#@-*/
7473     },
7474 
7475     /* special regular polygon options */
7476     regularpolygon: {
7477         /**#@+
7478          * @visprop
7479          */
7480 
7481         /**
7482          * If <tt>true</tt>, moving the mouse over inner points triggers hasPoint.
7483          * @see JXG.GeometryElement#hasPoint
7484          *
7485          * @name RegularPolygon#hasInnerPoints
7486          * @type Boolean
7487          * @default false
7488          */
7489         hasInnerPoints: false,
7490         fillColor: Color.palette.yellow,
7491         highlightFillColor: Color.palette.yellow,
7492         fillOpacity: 0.3,
7493         highlightFillOpacity: 0.2,
7494 
7495         /**
7496          * Is the polygon bordered by lines?
7497          *
7498          * @type Boolean
7499          * @name RegularPolygon#withLines
7500          * @default true
7501          */
7502         withLines: true,
7503 
7504         /**
7505          * Attributes for the polygon border lines.
7506          *
7507          * @type Line
7508          * @name RegularPolygon#borders
7509          */
7510         borders: {
7511             withLabel: false,
7512             strokeWidth: 1,
7513             highlightStrokeWidth: 1,
7514             // Polygon layer + 1
7515             layer: 5,
7516             label: {
7517                 position: 'top'
7518             }
7519         },
7520 
7521         /**
7522          * Attributes for the polygon vertices.
7523          *
7524          * @type Point
7525          * @name RegularPolygon#vertices
7526          */
7527         vertices: {
7528             layer: 9,
7529             withLabel: true,
7530             strokeColor: Color.palette.red,
7531             fillColor: Color.palette.red,
7532             fixed: false
7533         },
7534 
7535         /**
7536          * Attributes for the polygon label.
7537          *
7538          * @type Label
7539          * @name RegularPolygon#label
7540          */
7541         label: {
7542             offset: [0, 0]
7543         }
7544 
7545         /**#@-*/
7546     },
7547 
7548     /* special options for riemann sums */
7549     riemannsum: {
7550         /**#@+
7551          * @visprop
7552          */
7553 
7554         withLabel: false,
7555         fillOpacity: 0.3,
7556         fillColor: Color.palette.yellow
7557 
7558         /**#@-*/
7559     },
7560 
7561     /* special sector options */
7562     sector: {
7563         /**#@+
7564          * @visprop
7565          */
7566 
7567         fillColor: Color.palette.yellow,
7568         highlightFillColor: Color.palette.yellow,
7569         // fillColor: '#00ff00',
7570         // highlightFillColor: '#00ff00',
7571 
7572         fillOpacity: 0.3,
7573         highlightFillOpacity: 0.3,
7574         highlightOnSector: false,
7575         highlightStrokeWidth: 0,
7576 
7577         /**
7578          * Type of sector. Possible values are 'minor', 'major', and 'auto'.
7579          *
7580          * @type String
7581          * @name Sector#selection
7582          * @default 'auto'
7583          */
7584         selection: 'auto',
7585 
7586         /**
7587          * Attributes for sub-element arc. It is only available, if the sector is defined by three points.
7588          *
7589          * @type Arc
7590          * @name Sector#arc
7591          * @default '{visible:false}'
7592          */
7593         arc: {
7594             visible: false,
7595             fillColor: 'none',
7596             withLabel: false,
7597             name: '',
7598 
7599             center: {
7600                 visible: false,
7601                 withLabel: false,
7602                 name: ''
7603             },
7604 
7605             radiusPoint: {
7606                 visible: false,
7607                 withLabel: false,
7608                 name: ''
7609             },
7610 
7611             anglePoint: {
7612                 visible: false,
7613                 withLabel: false,
7614                 name: ''
7615             }
7616         },
7617 
7618         /**
7619          * Attributes for helper point radiuspoint in case it is provided by coordinates.
7620          *
7621          * @type Point
7622          * @name Sector#radiusPoint
7623          */
7624         radiusPoint: {
7625             visible: false,
7626             withLabel: false
7627         },
7628 
7629         /**
7630          * Attributes for helper point center in case it is provided by coordinates.
7631          *
7632          * @type Point
7633          * @name Sector#center
7634          */
7635         center: {
7636             visible: false,
7637             withLabel: false
7638         },
7639 
7640         /**
7641          * Attributes for helper point anglepoint in case it is provided by coordinates.
7642          *
7643          * @type Point
7644          * @name Sector#anglePoint
7645          */
7646         anglePoint: {
7647             visible: false,
7648             withLabel: false
7649         },
7650 
7651         /**
7652          * Attributes for the sector label.
7653          *
7654          * @type Label
7655          * @name Sector#label
7656          */
7657         label: {
7658             offset: [0, 0],
7659             anchorX: 'auto',
7660             anchorY: 'auto'
7661         }
7662 
7663         /**#@-*/
7664     },
7665 
7666     /* special segment options */
7667     segment: {
7668         /**#@+
7669          * @visprop
7670          */
7671 
7672         label: {
7673             position: 'top'
7674         }
7675         /**#@-*/
7676     },
7677 
7678     semicircle: {
7679         /**#@+
7680          * @visprop
7681          */
7682 
7683         /**
7684          * Attributes for center point of the semicircle.
7685          *
7686          * @type Point
7687          * @name Semicircle#center
7688          */
7689         center: {
7690             visible: false,
7691             withLabel: false,
7692             fixed: false,
7693             fillColor: Color.palette.red,
7694             strokeColor: Color.palette.red,
7695             highlightFillColor: '#eeeeee',
7696             highlightStrokeColor: Color.palette.red,
7697             name: ''
7698         }
7699 
7700         /**#@-*/
7701     },
7702 
7703     /* special slider options */
7704     slider: {
7705         /**#@+
7706          * @visprop
7707          */
7708 
7709         /**
7710          * The slider only returns integer multiples of this value, e.g. for discrete values set this property to <tt>1</tt>. For
7711          * continuous results set this to <tt>-1</tt>.
7712          *
7713          * @memberOf Slider.prototype
7714          * @name snapWidth
7715          * @type Number
7716          */
7717         snapWidth: -1,      // -1 = deactivated
7718 
7719         /**
7720          * List of values to snap to. If the glider is within snapValueDistance
7721          * (in user coordinate units) of one of these points,
7722          * then the glider snaps to that point.
7723          *
7724          * @memberOf Slider.prototype
7725          * @name snapValues
7726          * @type Array
7727          * @see Slider#snapValueDistance
7728          * @default empty
7729          *
7730          * @example
7731          *         var n = board.create('slider', [[-2, 3], [4, 3], [1, 5, 100]], {
7732          *             name: 'n',
7733          *             snapWidth: 1,
7734          *             snapValues: [1, 22, 77, 100],
7735          *             snapValueDistance: 5
7736          *         });
7737          *
7738          *         var k = board.create('slider', [[-2, -1], [4, -1], [-4, 0, 4]], {
7739          *             name: 'k',
7740          *             snapWidth: 0.1,
7741          *             snapValues: [-3, -1, 1, 3],
7742          *             snapValueDistance: 0.4
7743          *         });
7744          *
7745          * </pre><div id="JXG9be68014-4e14-479a-82b4-e92d9b8f6eef" class="jxgbox" style="width: 300px; height: 300px;"></div>
7746          * <script type="text/javascript">
7747          *     (function() {
7748          *         var board = JXG.JSXGraph.initBoard('JXG9be68014-4e14-479a-82b4-e92d9b8f6eef',
7749          *             {boundingbox: [-8, 8, 8,-8], axis: true, showcopyright: false, shownavigation: false});
7750          *             var n = board.create('slider', [[-2, 3], [4, 3], [1, 5, 100]], {
7751          *                 name: 'n',
7752          *                 snapWidth: 1,
7753          *                 snapValues: [1, 22, 77, 100],
7754          *                 snapValueDistance: 5
7755          *             });
7756          *
7757          *             var k = board.create('slider', [[-2, -1], [4, -1], [-4, 0, 4]], {
7758          *                 name: 'k',
7759          *                 snapWidth: 0.1,
7760          *                 snapValues: [-3, -1, 1, 3],
7761          *                 snapValueDistance: 0.4
7762          *             });
7763          *
7764          *     })();
7765          *
7766          * </script><pre>
7767          *
7768          */
7769         snapValues: [],
7770 
7771         /**
7772          * If the difference between the slider value and one of the elements of snapValues is less
7773          * than this number (in user coordinate units), the slider will snap to that value.
7774          *
7775          * @memberOf Slider.prototype
7776          * @name snapValueDistance
7777          * @type Number
7778          * @see Slider#snapValues
7779          * @default 0.0
7780          */
7781         snapValueDistance: 0.0,
7782 
7783         /**
7784          * The precision of the slider value displayed in the optional text.
7785          * Replaced by the attribute "digits".
7786          *
7787          * @memberOf Slider.prototype
7788          * @name precision
7789          * @type Number
7790          * @deprecated
7791          * @see Slider#digits
7792          * @default 2
7793          */
7794         precision: 2,
7795 
7796         /**
7797          * The number of digits of the slider value displayed in the optional text.
7798          *
7799          * @memberOf Slider.prototype
7800          * @name digits
7801          * @type Number
7802          * @default 2
7803          */
7804         digits: 2,
7805 
7806         /**
7807          * Internationalization support for slider labels.
7808          *
7809          * @name intl
7810          * @memberOf Slider.prototype
7811          * @type object
7812          * @default <pre>{
7813          *    enabled: 'inherit',
7814          *    options: {}
7815          * }</pre>
7816          * @see JXG.Board#intl
7817          * @see Text#intl
7818          *
7819          * @example
7820          * var s = board.create('slider', [[-2, 3], [2, 3], [0, 1, 360]], {
7821          *     name: 'α',
7822          *     snapWidth: 1,
7823          *     intl: {
7824          *         enabled: true,
7825          *         options: {
7826          *             style: 'unit',
7827          *             unit: 'degree',
7828          *         }
7829          *     }
7830          * });
7831          *
7832          * </pre><div id="JXGb49a9779-c0c8-419d-9173-c67232cfd65c" class="jxgbox" style="width: 300px; height: 300px;"></div>
7833          * <script type="text/javascript">
7834          *     (function() {
7835          *         var board = JXG.JSXGraph.initBoard('JXGb49a9779-c0c8-419d-9173-c67232cfd65c',
7836          *             {boundingbox: [-8, 8, 8,-8], axis: true, showcopyright: false, shownavigation: false});
7837          *     var s = board.create('slider', [[-2, 3], [2, 3], [0, 1, 360]], {
7838          *         name: 'α',
7839          *         snapWidth: 1,
7840          *         intl: {
7841          *             enabled: true,
7842          *             options: {
7843          *                 style: 'unit',
7844          *                 unit: 'degree',
7845          *             }
7846          *         }
7847          *     });
7848          *
7849          *     })();
7850          *
7851          * </script><pre>
7852          *
7853          */
7854         intl: {
7855             enabled: 'inherit',
7856             options: {}
7857         },
7858 
7859         firstArrow: false,
7860         lastArrow: false,
7861 
7862         /**
7863          * Show slider ticks.
7864          *
7865          * @type Boolean
7866          * @name Slider#withTicks
7867          * @default true
7868          */
7869         withTicks: true,
7870 
7871         /**
7872          * Show slider label.
7873          *
7874          * @type Boolean
7875          * @name Slider#withLabel
7876          * @default true
7877          */
7878         withLabel: true,
7879 
7880         /**
7881          * If not null, this replaces the part "name = " in the slider label.
7882          * Possible types: string, number or function.
7883          * @type String
7884          * @name suffixLabel
7885          * @memberOf Slider.prototype
7886          * @default null
7887          * @see JXG.Slider#unitLabel
7888          * @see JXG.Slider#postLabel
7889          */
7890         suffixLabel: null,
7891 
7892         /**
7893          * If not null, this is appended to the value in the slider label.
7894          * Possible types: string, number or function.
7895          * @type String
7896          * @name unitLabel
7897          * @memberOf Slider.prototype
7898          * @default null
7899          * @see JXG.Slider#suffixLabel
7900          * @see JXG.Slider#postLabel
7901          */
7902         unitLabel: null,
7903 
7904         /**
7905          * If not null, this is appended to the value and to unitLabel in the slider label.
7906          * Possible types: string, number or function.
7907          * @type String
7908          * @name postLabel
7909          * @memberOf Slider.prototype
7910          * @default null
7911          * @see JXG.Slider#suffixLabel
7912          * @see JXG.Slider#unitLabel
7913          */
7914         postLabel: null,
7915 
7916         layer: 9,
7917         showInfobox: false,
7918         name: '',
7919         visible: true,
7920         strokeColor: '#000000',
7921         highlightStrokeColor: '#888888',
7922         fillColor: '#ffffff',
7923         highlightFillColor: 'none',
7924 
7925         /**
7926          * Size of slider point.
7927          *
7928          * @type Number
7929          * @name Slider#size
7930          * @default 6
7931          * @see Point#size
7932          */
7933         size: 6,
7934 
7935         /**
7936          * Attributes for first (left) helper point defining the slider position.
7937          *
7938          * @type Point
7939          * @name Slider#point1
7940          */
7941         point1: {
7942             needsRegularUpdate: false,
7943             showInfobox: false,
7944             withLabel: false,
7945             visible: false,
7946             fixed: true,
7947             name: ''
7948         },
7949 
7950         /**
7951          * Attributes for second (right) helper point defining the slider position.
7952          *
7953          * @type Point
7954          * @name Slider#point2
7955          */
7956         point2: {
7957             needsRegularUpdate: false,
7958             showInfobox: false,
7959             withLabel: false,
7960             visible: false,
7961             fixed: true,
7962             name: ''
7963         },
7964 
7965         /**
7966          * Attributes for the base line of the slider.
7967          *
7968          * @type Line
7969          * @name Slider#baseline
7970          */
7971         baseline: {
7972             needsRegularUpdate: false,
7973             visible: 'inherit',
7974             fixed: true,
7975             scalable: false,
7976             tabindex: null,
7977             name: '',
7978             strokeWidth: 1,
7979             strokeColor: '#000000',
7980             highlightStrokeColor: '#888888'
7981         },
7982 
7983         /**
7984          * Attributes for the ticks of the base line of the slider.
7985          *
7986          * @type Ticks
7987          * @name Slider#ticks
7988          */
7989         ticks: {
7990             needsRegularUpdate: false,
7991             fixed: true,
7992 
7993             // Label drawing
7994             drawLabels: false,
7995             digits: 2,
7996             includeBoundaries: true,
7997             drawZero: true,
7998             label: {
7999                 offset: [-4, -14],
8000                 display: 'internal'
8001             },
8002 
8003             minTicksDistance: 30,
8004             insertTicks: true,
8005             ticksDistance: 1,      // Not necessary, since insertTicks = true
8006             minorHeight: 4,        // if <0: full width and height
8007             majorHeight: 5,        // if <0: full width and height
8008             minorTicks: 0,
8009             strokeOpacity: 1,
8010             strokeWidth: 1,
8011             tickEndings: [0, 1],
8012             majortickEndings: [0, 1],
8013             strokeColor: '#000000',
8014             visible: 'inherit'
8015         },
8016 
8017         /**
8018          * Attributes for the highlighting line of the slider.
8019          *
8020          * @type Line
8021          * @name Slider#highline
8022          */
8023         highline: {
8024             strokeWidth: 3,
8025             visible: 'inherit',
8026             fixed: true,
8027             tabindex: null,
8028             name: '',
8029             strokeColor: '#000000',
8030             highlightStrokeColor: '#888888'
8031         },
8032 
8033         /**
8034          * Attributes for the slider label.
8035          *
8036          * @type Label
8037          * @name Slider#label
8038          */
8039         label: {
8040             visible: 'inherit',
8041             strokeColor: '#000000'
8042         },
8043 
8044         /**
8045          * If true, 'up' events on the baseline will trigger slider moves.
8046          *
8047          * @type Boolean
8048          * @name Slider#moveOnUp
8049          * @default true
8050          */
8051         moveOnUp: true
8052 
8053         /**#@-*/
8054     },
8055 
8056     /* special vector field options */
8057     slopefield: {
8058         /**#@+
8059          * @visprop
8060          */
8061 
8062         strokeWidth: 0.5,
8063         highlightStrokeWidth: 0.5,
8064         highlightStrokeColor: Color.palette.blue,
8065         highlightStrokeOpacity: 0.8,
8066 
8067         /**
8068          * Set length of the vectors in user coordinates. This in contrast to vector fields, where this attribute just scales the vector.
8069          * @name scale
8070          * @memberOf Slopefield.prototype
8071          * @type {Number|Function}
8072          * @see Vectorfield.scale
8073          * @default 1
8074          */
8075         scale: 1,
8076 
8077         /**
8078          * Customize arrow heads of vectors. Be careful! If enabled this will slow down the performance.
8079          * Fields are:
8080          * <ul>
8081          *  <li> enabled: Boolean
8082          *  <li> size: length of the arrow head legs (in pixel)
8083          *  <li> angle: angle of the arrow head legs In radians.
8084          * </ul>
8085          * @name arrowhead
8086          * @memberOf Slopefield.prototype
8087          * @type {Object}
8088          * @default <tt>{enabled: false, size: 5, angle: Math.PI * 0.125}</tt>
8089          */
8090         arrowhead: {
8091             enabled: false,
8092             size: 5,
8093             angle: Math.PI * 0.125
8094         }
8095 
8096         /**#@-*/
8097     },
8098 
8099     /* special options for slope triangle */
8100     slopetriangle: {
8101         /**#@+
8102          * @visprop
8103          */
8104 
8105         fillColor: Color.palette.red,
8106         fillOpacity: 0.4,
8107         highlightFillColor: Color.palette.red,
8108         highlightFillOpacity: 0.3,
8109 
8110         borders: {
8111             lastArrow: {
8112                 type: 1,
8113                 size: 6
8114             }
8115         },
8116 
8117         /**
8118          * Attributes for the gliding helper point.
8119          *
8120          * @type Point
8121          * @name Slopetriangle#glider
8122          */
8123         glider: {
8124             fixed: true,
8125             visible: false,
8126             withLabel: false
8127         },
8128 
8129         /**
8130          * Attributes for the base line.
8131          *
8132          * @type Line
8133          * @name Slopetriangle#baseline
8134          */
8135         baseline: {
8136             visible: false,
8137             withLabel: false,
8138             name: ''
8139         },
8140 
8141         /**
8142          * Attributes for the base point.
8143          *
8144          * @type Point
8145          * @name Slopetriangle#basepoint
8146          */
8147         basepoint: {
8148             visible: false,
8149             withLabel: false,
8150             name: ''
8151         },
8152 
8153         /**
8154          * Attributes for the tangent.
8155          * The tangent is constructed by slop triangle if the construction
8156          * is based on a glider, solely.
8157          *
8158          * @type Line
8159          * @name Slopetriangle#tangent
8160          */
8161         tangent: {
8162             visible: false,
8163             withLabel: false,
8164             name: ''
8165         },
8166 
8167         /**
8168          * Attributes for the top point.
8169          *
8170          * @type Point
8171          * @name Slopetriangle#toppoint
8172          */
8173         toppoint: {
8174             visible: false,
8175             withLabel: false,
8176             name: ''
8177         },
8178 
8179         /**
8180          * Attributes for the slope triangle label.
8181          *
8182          * @type Label
8183          * @name Slopetriangle#label
8184          */
8185         label: {
8186             visible: true,
8187             position: 'first'
8188         }
8189         /**#@-*/
8190     },
8191 
8192     /* special options for smartlabel of angle */
8193     smartlabelangle: {
8194         cssClass: 'smart-label-solid smart-label-angle',
8195         highlightCssClass:'smart-label-solid smart-label-angle',
8196         anchorX: 'left',
8197         anchorY: 'middle',
8198 
8199         unit: '',
8200         prefix: '',
8201         suffix: '',
8202 
8203         measure: 'deg',
8204         useMathJax: true
8205     },
8206 
8207     /* special options for smartlabel of circle */
8208     smartlabelcircle: {
8209         /**#@+
8210          * @visprop
8211          */
8212 
8213         /**
8214          * CSS classes for the smart label. Available classes are:
8215          * <ul>
8216          * <li> 'smart-label-solid'
8217          * <li> 'smart-label-outline'
8218          * <li> 'smart-label-pure'
8219          * </ul>
8220          *
8221          * By default, an additional class is given specific for the element type.
8222          * Available classes are 'smart-label-angle', 'smart-label-circle',
8223          * 'smart-label-line', 'smart-label-point', 'smart-label-polygon'.
8224          *
8225          * @example
8226          *  cssClass: 'smart-label-solid smart-label-point'
8227          *
8228          * @type String
8229          * @name Smartlabel#cssClass
8230          * @see Smartlabel#highlightCssClass
8231          * @default <ul>
8232          *  <li> 'smart-label-solid smart-label-circle' for circles</li>
8233          *  <li> 'smart-label-solid smart-label-point' for points</li>
8234          *  <li> ...</li>
8235          * </ul>
8236          */
8237         cssClass: 'smart-label-solid smart-label-circle',
8238 
8239         /**
8240          * CSS classes for the smart label when highlighted.
8241          *
8242          * @type String
8243          * @name Smartlabel#highlightCssClass
8244          * @see Smartlabel#cssClass
8245          * @default <ul>
8246          *  <li> 'smart-label-solid smart-label-circle' for circles</li>
8247          *  <li> 'smart-label-solid smart-label-point' for points</li>
8248          *  <li> ...</li>
8249          * </ul>
8250          */
8251         highlightCssClass:'smart-label-solid smart-label-circle',
8252         anchorX: 'middle',
8253         useMathJax: true,
8254 
8255         /**
8256          * Measurement unit appended to the output text. For areas, the unit is squared automatically.
8257          * Comes directly after the measurement value.
8258          *
8259          * @type {String|Function}
8260          * @name Smartlabel#unit
8261          * @default ''
8262          */
8263         unit: '',
8264 
8265         /**
8266          * Prefix text for the smartlabel. Comes before the measurement value.
8267          *
8268          * @type {String|Function}
8269          * @name Smartlabel#prefix
8270          * @default ''
8271          */
8272         prefix: '',
8273 
8274         /**
8275          * Suffix text for the smartlabel. Comes after unit.
8276          *
8277          * @type {String|Function}
8278          * @name Smartlabel#suffix
8279          * @default ''
8280          */
8281         suffix: '',
8282 
8283         /**
8284          * Type of measurement.
8285          * Available values are:
8286          *  <ul>
8287          *  <li> 'deg', 'rad' for angles</li>
8288          *  <li> 'area', 'perimeter', 'radius' for circles</li>
8289          *  <li> 'length', 'slope' for lines</li>
8290          *  <li> 'area', 'perimeter' for polygons</li>
8291          * </ul>
8292          * Dependent on this value, i.e. the type of measurement, the label is
8293          * positioned differently on the object.
8294          *
8295          * @type String
8296          * @name Smartlabel#measure
8297          * @default <ul>
8298          *   <li> 'radius' for circles</li>
8299          *   <li> 'length' for lines</li>
8300          *   <li> 'area' for polygons</li>
8301          *   <li> 'deg' for angles</li>
8302          * </ul>
8303          */
8304         measure: 'radius'
8305 
8306         /**#@-*/
8307     },
8308 
8309     /* special options for smartlabel of line */
8310     smartlabelline: {
8311         cssClass: 'smart-label-solid smart-label-line',
8312         highlightCssClass:'smart-label-solid smart-label-line',
8313         anchorX: 'middle',
8314 
8315         useMathJax: true,
8316 
8317         unit: '',
8318         measure: 'length'
8319     },
8320 
8321     /* special options for smartlabel of point */
8322     smartlabelpoint: {
8323         /**#@+
8324          * @visprop
8325          */
8326 
8327         cssClass: 'smart-label-solid smart-label-point',
8328         highlightCssClass:'smart-label-solid smart-label-point',
8329         anchorX: 'middle',
8330         anchorY: 'top',
8331 
8332         useMathJax: true,
8333 
8334         /**
8335          * Display of point coordinates either as row vector or column vector.
8336          * Available values are 'row' or 'column'.
8337          * @type String
8338          * @name Smartlabel#dir
8339          * @default 'row'
8340          */
8341         dir: 'row',
8342 
8343         /**
8344          * Supply a unit suffix.
8345          *
8346          * @type String
8347          * @name Smartlabel#unit
8348          * @default ''
8349          */
8350         unit: ''
8351 
8352         /**#@-*/
8353     },
8354 
8355     /* special options for smartlabel of polygon */
8356     smartlabelpolygon: {
8357         cssClass: 'smart-label-solid smart-label-polygon',
8358         highlightCssClass:'smart-label-solid smart-label-polygon',
8359         anchorX: 'middle',
8360 
8361         useMathJax: true,
8362 
8363         unit: '',
8364         measure: 'area'
8365     },
8366 
8367     /* special options for step functions */
8368     stepfunction: {
8369         /**#@+
8370          * @visprop
8371          */
8372 
8373         /**#@-*/
8374     },
8375 
8376     /* special tangent options */
8377     tangent: {
8378     },
8379 
8380     /* special tape measure options */
8381     tapemeasure: {
8382         /**#@+
8383          * @visprop
8384          */
8385 
8386         strokeColor: '#000000',
8387         strokeWidth: 2,
8388         highlightStrokeColor: '#000000',
8389 
8390         /**
8391          * Show tape measure ticks.
8392          *
8393          * @type Boolean
8394          * @name Tapemeasure#withTicks
8395          * @default true
8396          */
8397         withTicks: true,
8398 
8399         /**
8400          * Show tape measure label.
8401          *
8402          * @type Boolean
8403          * @name Tapemeasure#withLabel
8404          * @default true
8405          */
8406         withLabel: true,
8407 
8408         /**
8409          * Text rotation in degrees.
8410          *
8411          * @name Tapemeasure#rotate
8412          * @type Number
8413          * @default 0
8414          */
8415         rotate: 0,
8416 
8417         /**
8418          * The precision of the tape measure value displayed in the optional text.
8419          * Replaced by the attribute digits
8420          *
8421          * @memberOf Tapemeasure.prototype
8422          * @name precision
8423          * @type Number
8424          * @deprecated
8425          * @see Tapemeasure#digits
8426          * @default 2
8427          */
8428         precision: 2,
8429 
8430         /**
8431          * The precision of the tape measure value displayed in the optional text.
8432          * @memberOf Tapemeasure.prototype
8433          * @name digits
8434          * @type Number
8435          * @default 2
8436          */
8437         digits: 2,
8438 
8439         /**
8440          * Attributes for first helper point defining the tape measure position.
8441          *
8442          * @type Point
8443          * @name Tapemeasure#point1
8444          */
8445         point1: {
8446             visible: true,
8447             strokeColor: '#000000',
8448             fillColor: '#ffffff',
8449             fillOpacity: 0.0,
8450             highlightFillOpacity: 0.1,
8451             size: 6,
8452             snapToPoints: true,
8453             attractorUnit: 'screen',
8454             attractorDistance: 20,
8455             showInfobox: false,
8456             withLabel: false,
8457             name: ''
8458         },
8459 
8460         /**
8461          * Attributes for second helper point defining the tape measure position.
8462          *
8463          * @type Point
8464          * @name Tapemeasure#point2
8465          */
8466         point2: {
8467             visible: true,
8468             strokeColor: '#000000',
8469             fillColor: '#ffffff',
8470             fillOpacity: 0.0,
8471             highlightFillOpacity: 0.1,
8472             size: 6,
8473             snapToPoints: true,
8474             attractorUnit: 'screen',
8475             attractorDistance: 20,
8476             showInfobox: false,
8477             withLabel: false,
8478             name: ''
8479         },
8480 
8481         /**
8482          * Attributes for the ticks of the tape measure.
8483          *
8484          * @type Ticks
8485          * @name Tapemeasure#ticks
8486          */
8487         ticks: {
8488             drawLabels: false,
8489             drawZero: true,
8490             insertTicks: true,
8491             ticksDistance: 0.1, // Ignored, since insertTicks=true
8492             minorHeight: 8,
8493             majorHeight: 16,
8494             minorTicks: 4,
8495             tickEndings: [0, 1],
8496             majorTickEndings: [0, 1],
8497             strokeOpacity: 1,
8498             strokeWidth: 1,
8499             strokeColor: '#000000',
8500             visible: 'inherit',
8501             label: {
8502                 anchorY: 'top',
8503                 anchorX: 'middle',
8504                 offset: [0, -10]
8505             }
8506         },
8507 
8508         /**
8509          * Attributes for the tape measure label.
8510          *
8511          * @type Label
8512          * @name Tapemeasure#label
8513          */
8514         label: {
8515             position: 'top'
8516         }
8517         /**#@-*/
8518     },
8519 
8520     /* special text options */
8521     text: {
8522         /**#@+
8523          * @visprop
8524          */
8525 
8526         /**
8527          * The font size in pixels.
8528          *
8529          * @name fontSize
8530          * @memberOf Text.prototype
8531          * @default 12
8532          * @type Number
8533          * @see Text#fontUnit
8534          */
8535         fontSize: 12,
8536 
8537         /**
8538          * CSS unit for the font size of a text element. Usually, this will be the default value 'px' but
8539          * for responsive application, also 'vw', 'vh', vmax', 'vmin' or 'rem' might be useful.
8540          *
8541          * @name fontUnit
8542          * @memberOf Text.prototype
8543          * @default 'px'
8544          * @type String
8545          * @see Text#fontSize
8546          *
8547          * @example
8548          * var txt = board.create('text', [2, 2, "hello"], {fontSize: 8, fontUnit: 'vmin'});
8549          *
8550          * </pre><div id="JXG2da7e972-ac62-416b-a94b-32559c9ec9f9" class="jxgbox" style="width: 300px; height: 300px;"></div>
8551          * <script type="text/javascript">
8552          *     (function() {
8553          *         var board = JXG.JSXGraph.initBoard('JXG2da7e972-ac62-416b-a94b-32559c9ec9f9',
8554          *             {boundingbox: [-8, 8, 8,-8], axis: true, showcopyright: false, shownavigation: false});
8555          *     var txt = board.create('text', [2, 2, "hello"], {fontSize: 8, fontUnit: 'vmin'});
8556          *
8557          *     })();
8558          *
8559          * </script><pre>
8560          *
8561          */
8562         fontUnit: 'px',
8563 
8564         /**
8565          * If the text content is solely a number and
8566          * this attribute is true (default) then the number is formatted
8567          * according to the number of digits
8568          * given by the attribute 'digits' and convert into a fraction if 'toFraction'
8569          * is true.
8570          * <p>
8571          * Otherwise, display the raw number.
8572          *
8573          * @name formatNumber
8574          * @memberOf Text.prototype
8575          * @default false
8576          * @type Boolean
8577          *
8578          */
8579         formatNumber: false,
8580 
8581         /**
8582          * Used to round texts given by a number.
8583          *
8584          * @name digits
8585          * @memberOf Text.prototype
8586          * @default 2
8587          * @type Number
8588          */
8589         digits: 2,
8590 
8591         /**
8592          * Internationalization support for texts consisting of a number only.
8593          * <p>
8594          * Setting the local overwrites the board-wide locale set in the board attributes.
8595          * The JSXGraph attribute digits is overruled by the
8596          * Intl attributes "minimumFractionDigits" and "maximumFractionDigits".
8597          * See <a href="https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Intl/NumberFormat/NumberFormat">https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/Intl/NumberFormat/NumberFormat</a>
8598          * for more information about possible options.
8599          * <p>
8600          * See below for an example where the text is composed from a string and a locale formatted number.
8601          *
8602          * @name intl
8603          * @memberOf Text.prototype
8604          * @type object
8605          * @default <pre>{
8606          *    enabled: 'inherit',
8607          *    options: {
8608          *      minimumFractionDigits: 0,
8609          *      maximumFractionDigits: 2
8610          *    }
8611          * }</pre>
8612          * @see JXG.Board#intl
8613          *
8614          * @example
8615          * var t = board.create('text', [1, 2, -Math.PI*100], {
8616          *         digits: 2,
8617          *         intl: {
8618          *                 enabled: true,
8619          *                 options: {
8620          *                     style: 'unit',
8621          *                     unit: 'celsius'
8622          *                 }
8623          *             }
8624          *     });
8625          *
8626          * </pre><div id="JXGb7162923-1beb-4e56-8817-19aa66e226d1" class="jxgbox" style="width: 300px; height: 300px;"></div>
8627          * <script type="text/javascript">
8628          *     (function() {
8629          *         var board = JXG.JSXGraph.initBoard('JXGb7162923-1beb-4e56-8817-19aa66e226d1',
8630          *             {boundingbox: [-8, 8, 8,-8], axis: true, showcopyright: false, shownavigation: false});
8631          *     var t = board.create('text', [1, 2, -Math.PI*100], {
8632          *             digits: 2,
8633          *             intl: {
8634          *                     enabled: true,
8635          *                     options: {
8636          *                         style: 'unit',
8637          *                         unit: 'celsius'
8638          *                     }
8639          *                 }
8640          *         });
8641          *
8642          *     })();
8643          *
8644          * </script><pre>
8645          *
8646          *
8647          * @example
8648          * var t = board.create('text', [0.05, -0.2, ''], {
8649          *     intl: {
8650          *         enabled: true,
8651          *         locale: 'it-IT',
8652          *         options: {
8653          *             style: 'unit',
8654          *             unit: 'kilometer-per-hour',
8655          *             unitDisplay: 'narrow',
8656          *             maximumFractionDigits: 2
8657          *         }
8658          *     }
8659          * });
8660          *
8661          * // Set dynamic text consisting of text and number.
8662          * t.setText(function() {
8663          *     var txt = 'Speed: ',
8664          *         number = t.X();
8665          *
8666          *     // Add formatted number to variable txt
8667          *     // with fallback if locale is not supported.
8668          *     if (t.useLocale()) {
8669          *         txt += t.formatNumberLocale(number);
8670          *     } else {
8671          *         txt += JXG.toFixed(number, 2);
8672          *     }
8673          *     return txt;
8674          * });
8675          *
8676          * </pre><div id="JXG560aeb1c-55fb-45da-8ad5-d3ad26216056" class="jxgbox" style="width: 300px; height: 300px;"></div>
8677          * <script type="text/javascript">
8678          *     (function() {
8679          *         var board = JXG.JSXGraph.initBoard('JXG560aeb1c-55fb-45da-8ad5-d3ad26216056',
8680          *             {boundingbox: [-0.5, 0.5, 0.5, -0.5], axis: true, showcopyright: false, shownavigation: false});
8681          *     var t = board.create('text', [0.3, -0.3, ''], {
8682          *         intl: {
8683          *             enabled: true,
8684          *             locale: 'it-IT',
8685          *             options: {
8686          *                 style: 'unit',
8687          *                 unit: 'kilometer-per-hour',
8688          *                 unitDisplay: 'narrow',
8689          *                 maximumFractionDigits: 2
8690          *             }
8691          *         }
8692          *     });
8693          *
8694          *     // Set dynamic text consisting of text and number.
8695          *     t.setText(function() {
8696          *         var txt = 'Speed: ',
8697          *             number = t.X();
8698          *
8699          *         // Add formatted number to variable txt
8700          *         if (t.useLocale()) {
8701          *             txt += t.formatNumberLocale(number);
8702          *         } else {
8703          *             txt += JXG.toFixed(number, 2);
8704          *         }
8705          *         return txt;
8706          *     });
8707          *
8708          *     })();
8709          *
8710          * </script><pre>
8711          *
8712          */
8713         intl: {
8714             enabled: 'inherit',
8715             options: {
8716                 minimumFractionDigits: 0,
8717                 maximumFractionDigits: 2
8718             }
8719         },
8720 
8721         /**
8722          * If set to true, the text is parsed and evaluated.
8723          * For labels parse==true results in converting names of the form k_a to subscripts.
8724          * If the text is given by string and parse==true, the string is parsed as
8725          * JessieCode expression.
8726          *
8727          * @name parse
8728          * @memberOf Text.prototype
8729          * @default true
8730          * @type Boolean
8731          */
8732         parse: true,
8733 
8734         /**
8735          * If set to true and caja's sanitizeHTML function can be found it
8736          * will be used to sanitize text output.
8737          *
8738          * @name useCaja
8739          * @memberOf Text.prototype
8740          * @default false
8741          * @type Boolean
8742          */
8743         useCaja: false,
8744 
8745         /**
8746          * If enabled, the text will be handled as label. Intended for internal use.
8747          *
8748          * @name isLabel
8749          * @memberOf Text.prototype
8750          * @default false
8751          * @type Boolean
8752          */
8753         isLabel: false,
8754 
8755         strokeColor: '#000000',
8756         highlightStrokeColor: '#000000',
8757         highlightStrokeOpacity: 0.666666,
8758 
8759         /**
8760          * Default CSS properties of the HTML text element.
8761          * <p>
8762          * The CSS properties which are set here, are handed over to the style property
8763          * of the HTML text element. That means, they have higher property than any
8764          * CSS class.
8765          * <p>
8766          * If a property which is set here should be overruled by a CSS class
8767          * then this property should be removed here.
8768          * <p>
8769          * The reason, why this attribute should be kept to its default value at all,
8770          * is that screen dumps of SVG boards with <tt>board.renderer.dumpToCanvas()</tt>
8771          * will ignore the font-family if it is set in a CSS class.
8772          * It has to be set explicitly as style attribute.
8773          * <p>
8774          * In summary, the order of priorities from high to low is
8775          * <ol>
8776          *  <li> JXG.Options.text.cssStyle
8777          *  <li> JXG.Options.text.cssDefaultStyle
8778          *  <li> JXG.Options.text.cssClass
8779          * </ol>
8780          * @example
8781          * If all texts should get its font-family from the default CSS class
8782          * before initializing the board
8783          * <pre>
8784          *   JXG.Options.text.cssDefaultStyle = '';
8785          *   JXG.Options.text.highlightCssDefaultStyle = '';
8786          * </pre>
8787          * should be called.
8788          *
8789          * @name cssDefaultStyle
8790          * @memberOf Text.prototype
8791          * @default  'font-family: Arial, Helvetica, Geneva, sans-serif;'
8792          * @type String
8793          * @see Text#highlightCssDefaultStyle
8794          * @see Text#cssStyle
8795          * @see Text#highlightCssStyle
8796          */
8797         cssDefaultStyle: 'font-family: Arial, Helvetica, Geneva, sans-serif;',
8798 
8799         /**
8800          * Default CSS properties of the HTML text element in case of highlighting.
8801          * <p>
8802          * The CSS properties which are set here, are handed over to the style property
8803          * of the HTML text element. That means, they have higher property than any
8804          * CSS class.
8805          * @example
8806          * If all texts should get its font-family from the default CSS class
8807          * before initializing the board
8808          * <pre>
8809          *   JXG.Options.text.cssDefaultStyle = '';
8810          *   JXG.Options.text.highlightCssDefaultStyle = '';
8811          * </pre>
8812          * should be called.
8813          *
8814          * @name highlightCssDefaultStyle
8815          * @memberOf Text.prototype
8816          * @default  'font-family: Arial, Helvetica, Geneva, sans-serif;'
8817          * @type String
8818          * @see Text#cssDefaultStyle
8819          * @see Text#cssStyle
8820          * @see Text#highlightCssStyle
8821         */
8822         highlightCssDefaultStyle: 'font-family: Arial, Helvetica, Geneva, sans-serif;',
8823 
8824         /**
8825          * CSS properties of the HTML text element.
8826          * <p>
8827          * The CSS properties which are set here, are handed over to the style property
8828          * of the HTML text element. That means, they have higher property than any
8829          * CSS class.
8830          *
8831          * @name cssStyle
8832          * @memberOf Text.prototype
8833          * @default  ''
8834          * @type String
8835          * @see Text#cssDefaultStyle
8836          * @see Text#highlightCssDefaultStyle
8837          * @see Text#highlightCssStyle
8838         */
8839         cssStyle: '',
8840 
8841         /**
8842          * CSS properties of the HTML text element in case of highlighting.
8843          * <p>
8844          * The CSS properties which are set here, are handed over to the style property
8845          * of the HTML text element. That means, they have higher property than any
8846          * CSS class.
8847          *
8848          * @name highlightCssStyle
8849          * @memberOf Text.prototype
8850          * @default  ''
8851          * @type String
8852          * @see Text#cssDefaultStyle
8853          * @see Text#highlightCssDefaultStyle
8854          * @see Text#cssStyle
8855         */
8856         highlightCssStyle: '',
8857 
8858         transitionProperties: ['color', 'opacity'],
8859 
8860         /**
8861          * If true, the input will be given to ASCIIMathML before rendering.
8862          *
8863          * @name useASCIIMathML
8864          * @memberOf Text.prototype
8865          * @default false
8866          * @type Boolean
8867          */
8868         useASCIIMathML: false,
8869 
8870         /**
8871          * If true, MathJax will be used to render the input string.
8872          * Supports MathJax 2 as well as Mathjax 3.
8873          * It is recommended to use this option together with the option
8874          * "parse: false". Otherwise, 4 backslashes (e.g. \\\\alpha) are needed
8875          * instead of two (e.g. \\alpha).
8876          *
8877          * @name useMathJax
8878          * @memberOf Text.prototype
8879          * @default false
8880          * @type Boolean
8881          * @see Text#parse
8882          *
8883          * @example
8884          *  // Before loading MathJax, it has to be configured something like this:
8885          * window.MathJax = {
8886          *   tex: {
8887          *     inlineMath: [ ['$','$'], ["\\(","\\)"] ],
8888          *     displayMath: [ ['$$','$$'], ["\\[","\\]"] ],
8889          *     packages: ['base', 'ams']
8890          *   },
8891          *   options: {
8892          *     ignoreHtmlClass: 'tex2jax_ignore',
8893          *     processHtmlClass: 'tex2jax_process'
8894          *   }
8895          * };
8896          *
8897          * // Display style
8898          * board.create('text',[ 2,2,  function(){return '$$X=\\frac{2}{x}$$'}], {
8899          *     fontSize: 15, color:'green', useMathJax: true});
8900          *
8901          * // Inline style
8902          * board.create('text',[-2,2,  function(){return '$X_A=\\frac{2}{x}$'}], {
8903          *     fontSize: 15, color:'green', useMathJax: true});
8904          *
8905          * var A = board.create('point', [-2, 0]);
8906          * var B = board.create('point', [1, 0]);
8907          * var C = board.create('point', [0, 1]);
8908          *
8909          * var graph = board.create('ellipse', [A, B, C], {
8910          *         fixed: true,
8911          *         withLabel: true,
8912          *         strokeColor: 'black',
8913          *         strokeWidth: 2,
8914          *         fillColor: '#cccccc',
8915          *         fillOpacity: 0.3,
8916          *         highlightStrokeColor: 'red',
8917          *         highlightStrokeWidth: 3,
8918          *         name: '$1=\\frac{(x-h)^2}{a^2}+\\frac{(y-k)^2}{b^2}$',
8919          *         label: {useMathJax: true}
8920          *     });
8921          *
8922          * var nvect1 = board.create('text', [-4, -3, '\\[\\overrightarrow{V}\\]'],
8923          * {
8924          *   fontSize: 24, parse: false
8925          * });
8926          * var nvect1 = board.create('text', [-2, -4, function() {return '$\\overrightarrow{G}$';}],
8927          * {
8928          *   fontSize: 24, useMathJax: true
8929          * });
8930          *
8931          * </pre>
8932          * <script>
8933          * window.MathJax = {
8934          *   tex: {
8935          *     inlineMath: [ ['$','$'], ["\\(","\\)"] ],
8936          *     displayMath: [ ['$$','$$'], ["\\[","\\]"] ],
8937          *     packages: ['base', 'ams']
8938          *   },
8939          *   options: {
8940          *     ignoreHtmlClass: 'tex2jax_ignore',
8941          *     processHtmlClass: 'tex2jax_process'
8942          *   }
8943          * };
8944          * </script>
8945          * <script src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-chtml.js" id="MathJax-script"></script>
8946          * <div id="JXGe2a04876-5813-4db0-b7e8-e48bf4e220b9" class="jxgbox" style="width: 400px; height: 400px;"></div>
8947          * <script type="text/javascript">
8948          *     (function() {
8949          *         var board = JXG.JSXGraph.initBoard('JXGe2a04876-5813-4db0-b7e8-e48bf4e220b9',
8950          *             {boundingbox: [-5, 5, 5, -5], axis: true, showcopyright: false, shownavigation: false});
8951          *     // Display style
8952          *     board.create('text',[ 2,2,  function(){return '$$X=\\frac{2}{x}$$'}], {
8953          *         fontSize: 15, color:'green', useMathJax: true});
8954          *
8955          *     // Inline style
8956          *     board.create('text',[-2,2,  function(){return '$X_A=\\frac{2}{x}$'}], {
8957          *         fontSize: 15, color:'green', useMathJax: true});
8958          *
8959          *     var A = board.create('point', [-2, 0]);
8960          *     var B = board.create('point', [1, 0]);
8961          *     var C = board.create('point', [0, 1]);
8962          *
8963          *     var graph = board.create('ellipse', [A, B, C], {
8964          *             fixed: true,
8965          *             withLabel: true,
8966          *             strokeColor: 'black',
8967          *             strokeWidth: 2,
8968          *             fillColor: '#cccccc',
8969          *             fillOpacity: 0.3,
8970          *             highlightStrokeColor: 'red',
8971          *             highlightStrokeWidth: 3,
8972          *             name: '$1=\\frac{(x-h)^2}{a^2}+\\frac{(y-k)^2}{b^2}$',
8973          *             label: {useMathJax: true}
8974          *         });
8975          *
8976          *     var nvect1 = board.create('text', [-4, -3, '\\[\\overrightarrow{V}\\]'],
8977          *     {
8978          *       fontSize: 24, parse: false
8979          *     });
8980          *     var nvect1 = board.create('text', [-2, -4, function() {return '$\\overrightarrow{G}$';}],
8981          *     {
8982          *       fontSize: 24, useMathJax: true
8983          *     });
8984          *     })();
8985          *
8986          * </script><pre>
8987          *
8988          *
8989          * @example
8990          * // Load MathJax:
8991          * // <script src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-chtml.js"<</script>
8992          *
8993          * // function and its derivative
8994          * var f1 = function(x) { return x * x * x; },
8995          * graph1 = board.create('functiongraph', [f1, -0.1, 1.1]),
8996          *
8997          * A = board.create('glider', [0.5, f1(0.5), graph1], {
8998          *             name: 'f(x)',
8999          *             color: 'black',
9000          *             face:'x',
9001          *             fixed: true,
9002          *             size: 3,
9003          *             label: {offset: [-30, 10], fontSize: 15}
9004          *         }),
9005          * B = board.create('glider', [0.7, f1(0.7), graph1], {
9006          *             name: 'f(x+Δx)',
9007          *             size: 3,
9008          *             label: {offset: [-60, 10], fontSize: 15}
9009          *         }),
9010          *
9011          * secant_line = board.create('line', [A,B],{dash: 1, color: 'green'}),
9012          * a_h_segment = board.create('segment', [A, [
9013          *                     function(){ return B.X() > A.X() ? B.X() : A.X()},
9014          *                     function(){ return B.X() > A.X() ? A.Y() : B.Y()}
9015          *                 ]],{ name: 'Δx', dash: 1, color: 'black'});
9016          *
9017          * b_v_segment = board.create('segment', [B, [
9018          *                     function(){ return B.X() > A.X() ? B.X() : A.X()},
9019          *                     function(){ return B.X() > A.X() ? A.Y() : B.Y()}
9020          *                 ]],{ name: 'Δy', dash: 1, color: 'black'}),
9021          *
9022          * ma = board.create('midpoint', [a_h_segment.point1, a_h_segment.point2
9023          *     ], {visible: false});
9024          *
9025          * board.create('text', [0, 0, function() {return '\\[\\Delta_x='+(B.X()-A.X()).toFixed(4)+'\\]'}], {
9026          *     anchor: ma, useMathJax: true, fixed: true, color: 'green', anchorY: 'top'
9027          * });
9028          *
9029          * mb = board.create('midpoint', [b_v_segment.point1, b_v_segment.point2], {visible: false});
9030          * board.create('text', [0, 0, function() {return '\\[\\Delta_y='+(B.Y()-A.Y()).toFixed(4)+'\\]'}], {
9031          *     anchor: mb, useMathJax: true, fixed: true, color: 'green'
9032          * });
9033          *
9034          * dval = board.create('text',[0.1, 0.8,
9035          *     function(){
9036          *         return '\\[\\frac{\\Delta_y}{\\Delta_x}=\\frac{' + ((B.Y()-A.Y()).toFixed(4)) + '}{' + ((B.X()-A.X()).toFixed(4)) +
9037          *             '}=' + (((B.Y()-A.Y()).toFixed(4))/((B.X()-A.X()).toFixed(4))).toFixed(4) + '\\]';
9038          *     }],{fontSize: 15, useMathJax: true});
9039          *
9040          * </pre>
9041          * <script src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-chtml.js" id="MathJax-script"></script>
9042          * <div id="JXG8c2b65e7-4fc4-43f7-b23c-5076a7fa9621" class="jxgbox" style="width: 400px; height: 400px;"></div>
9043          * <script type="text/javascript">
9044          *     (function() {
9045          *         var board = JXG.JSXGraph.initBoard('JXG8c2b65e7-4fc4-43f7-b23c-5076a7fa9621',
9046          *             {boundingbox: [-0.1, 1.1, 1.1, -0.1], axis: true, showcopyright: false, shownavigation: false});
9047          *     // function and its derivative
9048          *     var f1 = function(x) { return x * x * x; },
9049          *     graph1 = board.create('functiongraph', [f1, -0.1, 1.1]),
9050          *
9051          *     A = board.create('glider', [0.5, f1(0.5), graph1], {
9052          *                 name: 'f(x)',
9053          *                 color: 'black',
9054          *                 face:'x',
9055          *                 fixed: true,
9056          *                 size: 3,
9057          *                 label: {offset: [-30, 10], fontSize: 15}
9058          *             }),
9059          *     B = board.create('glider', [0.7, f1(0.7), graph1], {
9060          *                 name: 'f(x+Δx)',
9061          *                 size: 3,
9062          *                 label: {offset: [-60, 10], fontSize: 15}
9063          *             }),
9064          *
9065          *     secant_line = board.create('line', [A,B],{dash: 1, color: 'green'}),
9066          *     a_h_segment = board.create('segment', [A, [
9067          *                         function(){ return B.X() > A.X() ? B.X() : A.X()},
9068          *                         function(){ return B.X() > A.X() ? A.Y() : B.Y()}
9069          *                     ]],{ name: 'Δx', dash: 1, color: 'black'});
9070          *
9071          *     b_v_segment = board.create('segment', [B, [
9072          *                         function(){ return B.X() > A.X() ? B.X() : A.X()},
9073          *                         function(){ return B.X() > A.X() ? A.Y() : B.Y()}
9074          *                     ]],{ name: 'Δy', dash: 1, color: 'black'}),
9075          *
9076          *     ma = board.create('midpoint', [a_h_segment.point1, a_h_segment.point2
9077          *         ], {visible: false});
9078          *
9079          *     board.create('text', [0, 0, function() {return '\\[\\Delta_x='+(B.X()-A.X()).toFixed(4)+'\\]'}], {
9080          *         anchor: ma, useMathJax: true, fixed: true, color: 'green', anchorY: 'top'
9081          *     });
9082          *
9083          *     mb = board.create('midpoint', [b_v_segment.point1, b_v_segment.point2], {visible: false});
9084          *     board.create('text', [0, 0, function() {return '\\[\\Delta_y='+(B.Y()-A.Y()).toFixed(4)+'\\]'}], {
9085          *         anchor: mb, useMathJax: true, fixed: true, color: 'green'
9086          *     });
9087          *
9088          *     dval = board.create('text',[0.1, 0.8,
9089          *         function(){
9090          *             return '\\[\\frac{\\Delta_y}{\\Delta_x}=\\frac{' + ((B.Y()-A.Y()).toFixed(4)) + '}{' + ((B.X()-A.X()).toFixed(4)) +
9091          *                 '}=' + (((B.Y()-A.Y()).toFixed(4))/((B.X()-A.X()).toFixed(4))).toFixed(4) + '\\]';
9092          *         }],{fontSize: 15, useMathJax: true});
9093          *
9094          *     })();
9095          *
9096          * </script><pre>
9097          *
9098          * @example
9099          * var board = JXG.JSXGraph.initBoard('jxgbox', {boundingbox: [-1, 10, 11, -2], axis: true});
9100          * board.options.text.useMathjax = true;
9101          *
9102          * a = board.create('slider',[[-0.7,1.5],[5,1.5],[0,0.5,1]], {
9103          *     suffixlabel:'\\(t_1=\\)',
9104          *     unitLabel: ' \\(\\text{ ms}\\)',
9105          *     snapWidth:0.01}),
9106          *
9107          * func = board.create('functiongraph',[function(x){return (a.Value()*x*x)}], {strokeColor: "red"});
9108          * text1 = board.create('text', [5, 1, function(){
9109          *             return '\\(a(t)= { 1 \\over ' + a.Value().toFixed(3) + '}\\)';
9110          *         }], {fontSize: 15, fixed:true, strokeColor:'red', anchorY: 'top', parse: false});
9111          *
9112          * </pre><div id="JXGf8bd01db-fb6a-4a5c-9e7f-8823f7aa5ac6" class="jxgbox" style="width: 300px; height: 300px;"></div>
9113          * <script type="text/javascript">
9114          *     (function() {
9115          *         var board = JXG.JSXGraph.initBoard('JXGf8bd01db-fb6a-4a5c-9e7f-8823f7aa5ac6',
9116          *             {boundingbox: [-1, 10, 11, -2], axis: true, showcopyright: false, shownavigation: false});
9117          *     board.options.text.useMathjax = true;
9118          *
9119          *     a = board.create('slider',[[-0.7,1.5],[5,1.5],[0,0.5,1]], {
9120          *         suffixlabel:'\\(t_1=\\)',
9121          *         unitLabel: ' \\(\\text{ ms}\\)',
9122          *         snapWidth:0.01}),
9123          *
9124          *     func = board.create('functiongraph',[function(x){return (a.Value()*x*x)}], {strokeColor: "red"});
9125          *     text1 = board.create('text', [5, 1, function(){
9126          *                 return '\\(a(t)= { 1 \\over ' + a.Value().toFixed(3) + '}\\)';
9127          *             }], {fontSize: 15, fixed:true, strokeColor:'red', anchorY: 'top', parse: false});
9128          *
9129          *     })();
9130          *
9131          * </script><pre>
9132          *
9133          */
9134         useMathJax: false,
9135 
9136         /**
9137          *
9138          * If true, KaTeX will be used to render the input string.
9139          * For this feature, katex.min.js and katex.min.css have to be included.
9140          * <p>
9141          * The example below does not work, because there is a conflict with
9142          * the MathJax library which is used below.
9143          * </p>
9144          *
9145          * @name useKatex
9146          * @memberOf Text.prototype
9147          * @default false
9148          * @type Boolean
9149          *
9150          *
9151          * @example
9152          * JXG.Options.text.useKatex = true;
9153          *
9154          * const board = JXG.JSXGraph.initBoard('jxgbox', {
9155          *     boundingbox: [-2, 5, 8, -5], axis:true
9156          * });
9157          *
9158          * var a = board.create('slider',[[-0.7,1.5],[5,1.5],[0,0.5,1]], {
9159          *     suffixlabel:'t_1=',
9160          *     unitLabel: ' \\text{ ms}',
9161          *     snapWidth:0.01});
9162          *
9163          * func = board.create('functiongraph',[function(x){return (a.Value()*x*x)}], {strokeColor: "red"});
9164          * text1 = board.create('text', [5, 1, function(){
9165          *             return 'a(t)= { 1 \\over ' + a.Value().toFixed(3) + '}';
9166          *         }], {fontSize: 15, fixed:true, strokeColor:'red', anchorY: 'top'});
9167          *
9168          * </pre>
9169          * <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/katex@0.13.10/dist/katex.min.css" integrity="sha384-0cCFrwW/0bAk1Z/6IMgIyNU3kfTcNirlObr4WjrUU7+hZeD6ravdYJ3kPWSeC31M" crossorigin="anonymous">
9170          * <script src="https://cdn.jsdelivr.net/npm/katex@0.13.10/dist/katex.min.js" integrity="sha384-dtFDxK2tSkECx/6302Z4VN2ZRqt6Gis+b1IwCjJPrn0kMYFQT9rbtyQWg5NFWAF7" crossorigin="anonymous"></script>
9171          * <div id="JXG497f065c-cfc1-44c3-ba21-5fa581668869" class="jxgbox" style="width: 300px; height: 300px;"></div>
9172          * <script type="text/javascript">
9173          *     (function() {
9174          *         var board = JXG.JSXGraph.initBoard('JXG497f065c-cfc1-44c3-ba21-5fa581668869',
9175          *             {boundingbox: [-2, 5, 8, -5], axis: true, showcopyright: false, shownavigation: false});
9176          *     board.options.useKatex = true;
9177          *     var a = board.create('slider',[[-0.7,1.5],[5,1.5],[0,0.5,1]], {
9178          *         suffixlabel:'t_1=',
9179          *         unitLabel: ' \\text{ ms}',
9180          *         snapWidth:0.01});
9181          *
9182          *     func = board.create('functiongraph',[function(x){return (a.Value()*x*x)}], {strokeColor: "red"});
9183          *     text1 = board.create('text', [5, 1, function(){
9184          *                 return 'a(t)= { 1 \\over ' + a.Value().toFixed(3) + '}';
9185          *             }], {fontSize: 15, fixed:true, strokeColor:'red', anchorY: 'top'});
9186          *
9187          *     })();
9188          *
9189          * </script><pre>
9190          */
9191         useKatex: false,
9192 
9193         /**
9194          * Object or function returning an object that contains macros for KaTeX.
9195          *
9196          * @name katexMacros
9197          * @memberOf Text.prototype
9198          * @default <tt>{}</tt>
9199          * @type Object
9200          *
9201          * @example
9202          * // to globally apply macros to all text elements use:
9203          * JXG.Options.text.katexMacros = {'\\jxg': 'JSXGraph is awesome'};
9204          *
9205          * const board = JXG.JSXGraph.initBoard('jxgbox', {
9206          *     boundingbox: [-2, 5, 8, -5], axis:true
9207          * });
9208          *
9209          * // This macro only get applied to the p ('text') element
9210          * var p = board.create('text', [1, 0, '\\jsg \\sR '], { katexMacros: {'\\sR':'\\mathbb{R}'} });
9211          */
9212         katexMacros: {},
9213 
9214         /**
9215          * Display number as integer + nominator / denominator. Works together
9216          * with MathJax, KaTex or as plain text.
9217          * @name toFraction
9218          * @memberOf Text.prototype
9219          * @type Boolean
9220          * @default false
9221          * @see JXG#toFraction
9222          *
9223          * @example
9224          *  board.create('text', [2, 2, 2 / 7], { anchorY: 'top', toFraction: true, useMathjax: true });
9225          *  board.create('text', [2, -2, 2 / 19], { toFraction: true, useMathjax: false });
9226          *
9227          * </pre><div id="JXGc10fe0b6-15ac-42b6-890f-2593b427d493" class="jxgbox" style="width: 300px; height: 300px;"></div>
9228          * <script src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-chtml.js" id="MathJax-script"></script>
9229          * <script type="text/javascript">
9230          *     (function() {
9231          *         var board = JXG.JSXGraph.initBoard('JXGc10fe0b6-15ac-42b6-890f-2593b427d493',
9232          *             {boundingbox: [-8, 8, 8,-8], axis: true, showcopyright: false, shownavigation: false});
9233          *             board.create('text', [2, 2, 2 / 7], { anchorY: 'top', toFraction: true, useMathjax: true });
9234          *             board.create('text', [2, -2, 2 / 19], { toFraction: true, useMathjax: false });
9235          *
9236          *     })();
9237          *
9238          * </script><pre>
9239          *
9240          */
9241         toFraction: false,
9242 
9243         /**
9244          * Determines the rendering method of the text. Possible values
9245          * include <tt>'html'</tt> and <tt>'internal</tt>.
9246          *
9247          * @name display
9248          * @memberOf Text.prototype
9249          * @default 'html'
9250          * @type String
9251          */
9252         display: 'html',
9253 
9254         /**
9255          * Anchor element {@link Point}, {@link Text} or {@link Image} of the text.
9256          * If it exists, the coordinates of the text are relative
9257          * to this anchor element. In this case, only numbers are possible coordinates,
9258          * functions are not supported.
9259          *
9260          * @name anchor
9261          * @memberOf Text.prototype
9262          * @default null
9263          * @type Object
9264          */
9265         anchor: null,
9266 
9267         /**
9268          * The horizontal alignment of the text. Possible values include <tt>'auto'</tt>, <tt>'left'</tt>,
9269          * <tt>'middle'</tt>, and <tt>'right'</tt>.
9270          *
9271          * @name anchorX
9272          * @memberOf Text.prototype
9273          * @default 'left'
9274          * @type String
9275          */
9276         anchorX: 'left',
9277 
9278         /**
9279          * The vertical alignment of the text. Possible values include <tt>'auto</tt>, <tt>'top'</tt>, <tt>'middle'</tt>, and
9280          * <tt>'bottom'</tt>.
9281          * For MathJax or KaTeX, 'top' is recommended.
9282          *
9283          * @name anchorY
9284          * @memberOf Text.prototype
9285          * @default 'middle'
9286          * @type String
9287          */
9288         anchorY: 'middle',
9289 
9290         /**
9291          * CSS class of the text in non-highlighted view.
9292          *
9293          * @name cssClass
9294          * @memberOf Text.prototype
9295          * @type String
9296          * @default 'JXGtext'
9297          */
9298         cssClass: 'JXGtext',
9299 
9300         /**
9301          * CSS class of the text in highlighted view.
9302          *
9303          * @name highlightCssClass
9304          * @memberOf Text.prototype
9305          * @type String
9306          * @default 'JXGtext'
9307          */
9308         highlightCssClass: 'JXGtext',
9309 
9310         /**
9311          * Sensitive area for dragging the text.
9312          * Possible values are 'all', or something else.
9313          * If set to 'small', a sensitivity margin at the right and left border is taken.
9314          * This may be extended to left, right, ... in the future.
9315          *
9316          * @name Text#dragArea
9317          * @type String
9318          * @default 'all'
9319          */
9320         dragArea: 'all',
9321 
9322         withLabel: false,
9323 
9324         /**
9325          * Text rotation in degrees.
9326          * Works for non-zero values only in combination with display=='internal'.
9327          *
9328          * @name Text#rotate
9329          * @type Number
9330          * @default 0
9331          */
9332         rotate: 0,
9333 
9334         /**
9335          * @name Text#visible
9336          * @type Boolean
9337          * @default true
9338          */
9339         visible: true,
9340 
9341         /**
9342          * Defines together with {@link Text#snapSizeY} the grid the text snaps on to.
9343          * The text will only snap on integer multiples to snapSizeX in x and snapSizeY in y direction.
9344          * If this value is equal to or less than <tt>0</tt>, it will use the grid displayed by the major ticks
9345          * of the default ticks of the default x axes of the board.
9346          *
9347          * @name snapSizeX
9348          * @memberOf Text.prototype
9349          *
9350          * @see Point#snapToGrid
9351          * @see Text#snapSizeY
9352          * @see JXG.Board#defaultAxes
9353          * @type Number
9354          * @default 1
9355          */
9356         snapSizeX: 1,
9357 
9358         /**
9359          * Defines together with {@link Text#snapSizeX} the grid the text snaps on to.
9360          * The text will only snap on integer multiples to snapSizeX in x and snapSizeY in y direction.
9361          * If this value is equal to or less than <tt>0</tt>, it will use the grid displayed by the major ticks
9362          * of the default ticks of the default y axes of the board.
9363          *
9364          * @name snapSizeY
9365          * @memberOf Text.prototype
9366          *
9367          * @see Point#snapToGrid
9368          * @see Text#snapSizeX
9369          * @see JXG.Board#defaultAxes
9370          * @type Number
9371          * @default 1
9372          */
9373         snapSizeY: 1,
9374 
9375         /**
9376          * List of attractor elements. If the distance of the text is less than
9377          * attractorDistance the text is made to glider of this element.
9378          *
9379          * @name attractors
9380          * @memberOf Text.prototype
9381          * @type Array
9382          * @default empty
9383          */
9384         attractors: []
9385 
9386         /**#@-*/
9387     },
9388 
9389     /* special options for trace curves */
9390     tracecurve: {
9391         /**#@+
9392          * @visprop
9393          */
9394         strokeColor: '#000000',
9395         fillColor: 'none',
9396 
9397         /**
9398          * The number of evaluated data points.
9399          * @memberOf Tracecurve.prototype
9400          * @default 100
9401          * @name numberPoints
9402          * @type Number
9403          */
9404         numberPoints: 100
9405 
9406         /**#@-*/
9407     },
9408 
9409     /* special turtle options */
9410     turtle: {
9411         /**#@+
9412          * @visprop
9413          */
9414 
9415         strokeWidth: 1,
9416         fillColor: 'none',
9417         strokeColor: '#000000',
9418 
9419         /**
9420          * Attributes for the turtle arrow.
9421          *
9422          * @type Curve
9423          * @name Turtle#arrow
9424          */
9425         arrow: {
9426             strokeWidth: 2,
9427             withLabel: false,
9428             strokeColor: Color.palette.red,
9429             lastArrow: true
9430         }
9431         /**#@-*/
9432     },
9433 
9434     /* special vector field options */
9435     vectorfield: {
9436         /**#@+
9437          * @visprop
9438          */
9439 
9440         strokeWidth: 0.5,
9441         highlightStrokeWidth: 0.5,
9442         highlightStrokeColor: Color.palette.blue,
9443         highlightStrokeOpacity: 0.8,
9444 
9445         /**
9446          * Scaling factor of the vectors. This in contrast to slope fields, where this attribute sets the vector to the given length.
9447          * @name scale
9448          * @memberOf Vectorfield.prototype
9449          * @type {Number|Function}
9450          * @see Slopefield.scale
9451          * @default 1
9452          */
9453         scale: 1,
9454 
9455         /**
9456          * Customize arrow heads of vectors. Be careful! If enabled this will slow down the performance.
9457          * Fields are:
9458          * <ul>
9459          *  <li> enabled: Boolean
9460          *  <li> size: length of the arrow head legs (in pixel)
9461          *  <li> angle: angle of the arrow head legs In radians.
9462          * </ul>
9463          * @name arrowhead
9464          * @memberOf Vectorfield.prototype
9465          * @type {Object}
9466          * @default <tt>{enabled: true, size: 5, angle: Math.PI * 0.125}</tt>
9467          */
9468         arrowhead: {
9469             enabled: true,
9470             size: 5,
9471             angle: Math.PI * 0.125
9472         }
9473 
9474         /**#@-*/
9475     },
9476 
9477     /**
9478      * Abbreviations of attributes. Setting the shortcut means setting abbreviated properties
9479      * to the same value.
9480      * It is used in {@link JXG.GeometryElement#setAttribute} and in
9481      * the constructor {@link JXG.GeometryElement}.
9482      * Attention: In Options.js abbreviations are not allowed.
9483      * @type Object
9484      * @name JXG.Options#shortcuts
9485      *
9486      */
9487     shortcuts: {
9488         color: ['strokeColor', 'fillColor'],
9489         opacity: ['strokeOpacity', 'fillOpacity'],
9490         highlightColor: ['highlightStrokeColor', 'highlightFillColor'],
9491         highlightOpacity: ['highlightStrokeOpacity', 'highlightFillOpacity'],
9492         strokeWidth: ['strokeWidth', 'highlightStrokeWidth']
9493     }
9494 };
9495 
9496     /**
9497      * Holds all possible properties and the according validators for geometry elements.
9498      * A validator is either a function
9499      * which takes one parameter and returns true, if the value is valid for the property,
9500      * or it is false if no validator is required.
9501      */
9502     JXG.Validator = (function () {
9503         var i,
9504             validatePixel = function (v) {
9505                 return (/^[0-9]+px$/).test(v);
9506             },
9507             validateDisplay = function (v) {
9508                 return (v  === 'html' || v === 'internal');
9509             },
9510             validateColor = function (v) {
9511                 // for now this should do it...
9512                 return Type.isString(v);
9513             },
9514             validatePointFace = function (v) {
9515                 return Type.exists(JXG.normalizePointFace(v));
9516             },
9517             validateInteger = function (v) {
9518                 return (Math.abs(v - Math.round(v)) < Mat.eps);
9519             },
9520             validateNotNegativeInteger = function (v) {
9521                 return validateInteger(v) && v >= 0;
9522             },
9523             validatePositiveInteger = function (v) {
9524                 return validateInteger(v) && v > 0;
9525             },
9526             // validateScreenCoords = function (v) {
9527             //     return v.length >= 2 && validateInteger(v[0]) && validateInteger(v[1]);
9528             // },
9529             validateRenderer = function (v) {
9530                 return (v === 'vml' || v === 'svg' || v === 'canvas' || v === 'no');
9531             },
9532             validatePositive = function (v) {
9533                 return v > 0;
9534             },
9535             validateNotNegative = function (v) {
9536                 return v >= 0;
9537             },
9538             v = {},
9539             validators = {
9540                 attractorDistance: validateNotNegative,
9541                 color: validateColor,
9542                 // defaultDistance: Type.isNumber,
9543                 display: validateDisplay,
9544                 doAdvancedPlot: false,
9545                 draft: false,
9546                 drawLabels: false,
9547                 drawZero: false,
9548                 face: validatePointFace,
9549                 factor: Type.isNumber,
9550                 fillColor: validateColor,
9551                 fillOpacity: Type.isNumber,
9552                 firstArrow: false,
9553                 fontSize: validateInteger,
9554                 dash: validateInteger,
9555                 gridX: Type.isNumber,
9556                 gridY: Type.isNumber,
9557                 // POI: Do we have to add something here?
9558                 hasGrid: false,
9559                 highlightFillColor: validateColor,
9560                 highlightFillOpacity: Type.isNumber,
9561                 highlightStrokeColor: validateColor,
9562                 highlightStrokeOpacity: Type.isNumber,
9563                 insertTicks: false,
9564                 //: validateScreenCoords,
9565                 lastArrow: false,
9566                 layer: validateNotNegativeInteger,
9567                 majorHeight: validateInteger,
9568                 minorHeight: validateInteger,
9569                 minorTicks: validateNotNegative,
9570                 minTicksDistance: validatePositiveInteger,
9571                 numberPointsHigh: validatePositiveInteger,
9572                 numberPointsLow: validatePositiveInteger,
9573                 opacity: Type.isNumber,
9574                 radius: Type.isNumber,
9575                 RDPsmoothing: false,
9576                 renderer: validateRenderer,
9577                 right: validatePixel,
9578                 showCopyright: false,
9579                 showInfobox: false,
9580                 showNavigation: false,
9581                 size: validateNotNegative, //validateInteger,
9582                 snapSizeX: validatePositive,
9583                 snapSizeY: validatePositive,
9584                 snapWidth: Type.isNumber,
9585                 snapToGrid: false,
9586                 snatchDistance: validateNotNegative,
9587                 straightFirst: false,
9588                 straightLast: false,
9589                 stretch: false,
9590                 strokeColor: validateColor,
9591                 strokeOpacity: Type.isNumber,
9592                 strokeWidth: validateNotNegative, //validateInteger,
9593                 takeFirst: false,
9594                 takeSizeFromFile: false,
9595                 to10: false,
9596                 toOrigin: false,
9597                 translateTo10: false,
9598                 translateToOrigin: false,
9599                 useASCIIMathML: false,
9600                 useDirection: false,
9601                 useMathJax: false,
9602                 withLabel: false,
9603                 withTicks: false,
9604                 zoom: false
9605             };
9606 
9607         // this seems like a redundant step but it makes sure that
9608         // all properties in the validator object have lower case names
9609         // and the validator object is easier to read.
9610         for (i in validators) {
9611             if (validators.hasOwnProperty(i)) {
9612                 v[i.toLowerCase()] = validators[i];
9613             }
9614         }
9615 
9616         return v;
9617     }());
9618 
9619     /**
9620      * All point faces can be defined with more than one name, e.g. a cross faced point can be given
9621      * by face equal to 'cross' or equal to 'x'. This method maps all possible values to fixed ones to
9622      * simplify if- and switch-clauses regarding point faces. The translation table is as follows:
9623      * <table>
9624      * <tr><th>Input</th><th>Output</th></tr>
9625      * <tr><td>cross</td><td>x</td></tr>
9626      * <tr><td>circle</td><td>o</td></tr>
9627      * <tr><td>square, []</td><td>[]</td></tr>
9628      * <tr><td>plus</td><td>+</td></tr>
9629      * <tr><td>minus</td><td>-</td></tr>
9630      * <tr><td>divide</td><td>|</td></tr>
9631      * <tr><td>diamond</td><td><></td></tr>
9632      * <tr><td>triangleup</td><td>^, a, A</td></tr>
9633      * <tr><td>triangledown</td><td>v</td></tr>
9634      * <tr><td>triangleleft</td><td><</td></tr>
9635      * <tr><td>triangleright</td><td>></td></tr>
9636      * </table>
9637      * @param {String} s A string which should determine a valid point face.
9638      * @returns {String} Returns a normalized string or undefined if the given string is not a valid
9639      * point face.
9640      */
9641     JXG.normalizePointFace = function (s) {
9642         var map = {
9643             cross: 'x',
9644             x: 'x',
9645             circle: 'o',
9646             o: 'o',
9647             square: '[]',
9648             '[]': '[]',
9649             plus: '+',
9650             '+': '+',
9651             divide: '|',
9652             '|': '|',
9653             minus: '-',
9654             '-': '-',
9655             diamond: '<>',
9656             '<>': '<>',
9657             diamond2: '<<>>',
9658             '<<>>': '<<>>',
9659             triangleup: '^',
9660             A: '^',
9661             a: '^',
9662             '^': '^',
9663             triangledown: 'v',
9664             v: 'v',
9665             triangleleft: '<',
9666             '<': '<',
9667             triangleright: '>',
9668             '>': '>'
9669         };
9670 
9671         return map[s];
9672     };
9673 
9674 
9675     /**
9676      * Apply the options stored in this object to all objects on the given board.
9677      * @param {JXG.Board} board The board to which objects the options will be applied.
9678      */
9679     JXG.useStandardOptions = function (board) {
9680         var el, t, p, copyProps,
9681             o = JXG.Options,
9682             boardHadGrid = board.hasGrid;
9683 
9684         board.options.grid.hasGrid = o.grid.hasGrid;
9685         board.options.grid.gridX = o.grid.gridX;
9686         board.options.grid.gridY = o.grid.gridY;
9687         // POI: Do we have to add something here?
9688         board.options.grid.gridColor = o.grid.gridColor;
9689         board.options.grid.gridOpacity = o.grid.gridOpacity;
9690         board.options.grid.gridDash = o.grid.gridDash;
9691         board.options.grid.snapToGrid = o.grid.snapToGrid;
9692         board.options.grid.snapSizeX = o.grid.SnapSizeX;
9693         board.options.grid.snapSizeY = o.grid.SnapSizeY;
9694         board.takeSizeFromFile = o.takeSizeFromFile;
9695 
9696         copyProps = function (p, o) {
9697             p.visProp.fillcolor = o.fillColor;
9698             p.visProp.highlightfillcolor = o.highlightFillColor;
9699             p.visProp.strokecolor = o.strokeColor;
9700             p.visProp.highlightstrokecolor = o.highlightStrokeColor;
9701         };
9702 
9703         for (el in board.objects) {
9704             if (board.objects.hasOwnProperty(el)) {
9705                 p = board.objects[el];
9706                 if (p.elementClass === Const.OBJECT_CLASS_POINT) {
9707                     copyProps(p, o.point);
9708                 } else if (p.elementClass === Const.OBJECT_CLASS_LINE) {
9709                     copyProps(p, o.line);
9710 
9711                     for (t = 0; t < p.ticks.length; t++) {
9712                         p.ticks[t].majorTicks = o.line.ticks.majorTicks;
9713                         p.ticks[t].minTicksDistance = o.line.ticks.minTicksDistance;
9714                         p.ticks[t].visProp.minorheight = o.line.ticks.minorHeight;
9715                         p.ticks[t].visProp.majorheight = o.line.ticks.majorHeight;
9716                     }
9717                 } else if (p.elementClass === Const.OBJECT_CLASS_CIRCLE) {
9718                     copyProps(p, o.circle);
9719                 } else if (p.type === Const.OBJECT_TYPE_ANGLE) {
9720                     copyProps(p, o.angle);
9721                 } else if (p.type === Const.OBJECT_TYPE_ARC) {
9722                     copyProps(p, o.arc);
9723                 } else if (p.type === Const.OBJECT_TYPE_POLYGON) {
9724                     copyProps(p, o.polygon);
9725                 } else if (p.type === Const.OBJECT_TYPE_CONIC) {
9726                     copyProps(p, o.conic);
9727                 } else if (p.type === Const.OBJECT_TYPE_CURVE) {
9728                     copyProps(p, o.curve);
9729                 } else if (p.type === Const.OBJECT_TYPE_SECTOR) {
9730                     p.arc.visProp.fillcolor = o.sector.fillColor;
9731                     p.arc.visProp.highlightfillcolor = o.sector.highlightFillColor;
9732                     p.arc.visProp.fillopacity = o.sector.fillOpacity;
9733                     p.arc.visProp.highlightfillopacity = o.sector.highlightFillOpacity;
9734                 }
9735             }
9736         }
9737 
9738         board.fullUpdate();
9739         if (boardHadGrid && !board.hasGrid) {
9740             board.removeGrids(board);
9741         } else if (!boardHadGrid && board.hasGrid) {
9742             board.create('grid', []);
9743         }
9744     };
9745 
9746     /**
9747      * Converts all color values to greyscale and calls useStandardOption to put them onto the board.
9748      * @param {JXG.Board} board The board to which objects the options will be applied.
9749      * @see #useStandardOptions
9750      */
9751     JXG.useBlackWhiteOptions = function (board) {
9752         var o = JXG.Options;
9753         o.point.fillColor = Color.rgb2bw(o.point.fillColor);
9754         o.point.highlightFillColor = Color.rgb2bw(o.point.highlightFillColor);
9755         o.point.strokeColor = Color.rgb2bw(o.point.strokeColor);
9756         o.point.highlightStrokeColor = Color.rgb2bw(o.point.highlightStrokeColor);
9757 
9758         o.line.fillColor = Color.rgb2bw(o.line.fillColor);
9759         o.line.highlightFillColor = Color.rgb2bw(o.line.highlightFillColor);
9760         o.line.strokeColor = Color.rgb2bw(o.line.strokeColor);
9761         o.line.highlightStrokeColor = Color.rgb2bw(o.line.highlightStrokeColor);
9762 
9763         o.circle.fillColor = Color.rgb2bw(o.circle.fillColor);
9764         o.circle.highlightFillColor = Color.rgb2bw(o.circle.highlightFillColor);
9765         o.circle.strokeColor = Color.rgb2bw(o.circle.strokeColor);
9766         o.circle.highlightStrokeColor = Color.rgb2bw(o.circle.highlightStrokeColor);
9767 
9768         o.arc.fillColor = Color.rgb2bw(o.arc.fillColor);
9769         o.arc.highlightFillColor = Color.rgb2bw(o.arc.highlightFillColor);
9770         o.arc.strokeColor = Color.rgb2bw(o.arc.strokeColor);
9771         o.arc.highlightStrokeColor = Color.rgb2bw(o.arc.highlightStrokeColor);
9772 
9773         o.polygon.fillColor = Color.rgb2bw(o.polygon.fillColor);
9774         o.polygon.highlightFillColor  = Color.rgb2bw(o.polygon.highlightFillColor);
9775 
9776         o.sector.fillColor = Color.rgb2bw(o.sector.fillColor);
9777         o.sector.highlightFillColor  = Color.rgb2bw(o.sector.highlightFillColor);
9778 
9779         o.curve.strokeColor = Color.rgb2bw(o.curve.strokeColor);
9780         o.grid.gridColor = Color.rgb2bw(o.grid.gridColor);
9781 
9782         JXG.useStandardOptions(board);
9783     };
9784 
9785 // needs to be exported
9786 JXG.Options.normalizePointFace = JXG.normalizePointFace;
9787 
9788 export default JXG.Options;
9789