summaryrefslogtreecommitdiffstats
path: root/Doc/library/turtle.rst
blob: 0a7aceae6480fea2750cdeef2e0f5031aca2603a (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
1001
1002
1003
1004
1005
1006
1007
1008
1009
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
1034
1035
1036
1037
1038
1039
1040
1041
1042
1043
1044
1045
1046
1047
1048
1049
1050
1051
1052
1053
1054
1055
1056
1057
1058
1059
1060
1061
1062
1063
1064
1065
1066
1067
1068
1069
1070
1071
1072
1073
1074
1075
1076
1077
1078
1079
1080
1081
1082
1083
1084
1085
1086
1087
1088
1089
1090
1091
1092
1093
1094
1095
1096
1097
1098
1099
1100
1101
1102
1103
1104
1105
1106
1107
1108
1109
1110
1111
1112
1113
1114
1115
1116
1117
1118
1119
1120
1121
1122
1123
1124
1125
1126
1127
1128
1129
1130
1131
1132
1133
1134
1135
1136
1137
1138
1139
1140
1141
1142
1143
1144
1145
1146
1147
1148
1149
1150
1151
1152
1153
1154
1155
1156
1157
1158
1159
1160
1161
1162
1163
1164
1165
1166
1167
1168
1169
1170
1171
1172
1173
1174
1175
1176
1177
1178
1179
1180
1181
1182
1183
1184
1185
1186
1187
1188
1189
1190
1191
1192
1193
1194
1195
1196
1197
1198
1199
1200
1201
1202
1203
1204
1205
1206
1207
1208
1209
1210
1211
1212
1213
1214
1215
1216
1217
1218
1219
1220
1221
1222
1223
1224
1225
1226
1227
1228
1229
1230
1231
1232
1233
1234
1235
1236
1237
1238
1239
1240
1241
1242
1243
1244
1245
1246
1247
1248
1249
1250
1251
1252
1253
1254
1255
1256
1257
1258
1259
1260
1261
1262
1263
1264
1265
1266
1267
1268
1269
1270
1271
1272
1273
1274
1275
1276
1277
1278
1279
1280
1281
1282
1283
1284
1285
1286
1287
1288
1289
1290
1291
1292
1293
1294
1295
1296
1297
1298
1299
1300
1301
1302
1303
1304
1305
1306
1307
1308
1309
1310
1311
1312
1313
1314
1315
1316
1317
1318
1319
1320
1321
1322
1323
1324
1325
1326
1327
1328
1329
1330
1331
1332
1333
1334
1335
1336
1337
1338
1339
1340
1341
1342
1343
1344
1345
1346
1347
1348
1349
1350
1351
1352
1353
1354
1355
1356
1357
1358
1359
1360
1361
1362
1363
1364
1365
1366
1367
1368
1369
1370
1371
1372
1373
1374
1375
1376
1377
1378
1379
1380
1381
1382
1383
1384
1385
1386
1387
1388
1389
1390
1391
1392
1393
1394
1395
1396
1397
1398
1399
1400
1401
1402
1403
1404
1405
1406
1407
1408
1409
1410
1411
1412
1413
1414
1415
1416
1417
1418
1419
1420
1421
1422
1423
1424
1425
1426
1427
1428
1429
1430
1431
1432
1433
1434
1435
1436
1437
1438
1439
1440
1441
1442
1443
1444
1445
1446
1447
1448
1449
1450
1451
1452
1453
1454
1455
1456
1457
1458
1459
1460
1461
1462
1463
1464
1465
1466
1467
1468
1469
1470
1471
1472
1473
1474
1475
1476
1477
1478
1479
1480
1481
1482
1483
1484
1485
1486
1487
1488
1489
1490
1491
1492
1493
1494
1495
1496
1497
1498
1499
1500
1501
1502
1503
1504
1505
1506
1507
1508
1509
1510
1511
1512
1513
1514
1515
1516
1517
1518
1519
1520
1521
1522
1523
1524
1525
1526
1527
1528
1529
1530
1531
1532
1533
1534
1535
1536
1537
1538
1539
1540
1541
1542
1543
1544
1545
1546
1547
1548
1549
1550
1551
1552
1553
1554
1555
1556
1557
1558
1559
1560
1561
1562
1563
1564
1565
1566
1567
1568
1569
1570
1571
1572
1573
1574
1575
1576
1577
1578
1579
1580
1581
1582
1583
1584
1585
1586
1587
1588
1589
1590
1591
1592
1593
1594
1595
1596
1597
1598
1599
1600
1601
1602
1603
1604
1605
1606
1607
1608
1609
1610
1611
1612
1613
1614
1615
1616
1617
1618
1619
1620
1621
1622
1623
1624
1625
1626
1627
1628
1629
1630
1631
1632
1633
1634
1635
1636
1637
1638
1639
1640
1641
1642
1643
1644
1645
1646
1647
1648
1649
1650
1651
1652
1653
1654
1655
1656
1657
1658
1659
1660
1661
1662
1663
1664
1665
1666
1667
1668
1669
1670
1671
1672
1673
1674
1675
1676
1677
1678
1679
1680
1681
1682
1683
1684
1685
1686
1687
1688
1689
1690
1691
1692
1693
1694
1695
1696
1697
1698
1699
1700
1701
1702
1703
1704
1705
1706
1707
1708
1709
1710
1711
1712
1713
1714
1715
1716
1717
1718
1719
1720
1721
1722
1723
1724
1725
1726
1727
1728
1729
1730
1731
1732
1733
1734
1735
1736
1737
1738
1739
1740
1741
1742
1743
1744
1745
1746
1747
1748
1749
1750
1751
1752
1753
1754
1755
1756
1757
1758
1759
1760
1761
1762
1763
1764
1765
1766
1767
1768
1769
1770
1771
1772
1773
1774
1775
1776
1777
1778
1779
1780
1781
1782
1783
1784
1785
1786
1787
1788
1789
1790
1791
1792
1793
1794
1795
1796
1797
1798
1799
1800
1801
1802
1803
1804
1805
1806
1807
1808
1809
1810
1811
1812
1813
1814
1815
1816
1817
1818
1819
1820
1821
1822
1823
1824
1825
1826
1827
1828
1829
1830
1831
1832
1833
1834
1835
1836
1837
1838
1839
1840
1841
1842
1843
1844
1845
1846
1847
1848
1849
1850
1851
1852
1853
1854
1855
1856
1857
1858
1859
1860
1861
1862
1863
1864
1865
1866
1867
1868
1869
1870
1871
1872
1873
1874
1875
1876
1877
1878
1879
1880
1881
1882
1883
1884
1885
1886
1887
1888
1889
1890
1891
========================================
:mod:`turtle` --- Turtle graphics for Tk
========================================

.. module:: turtle
   :synopsis: Turtle graphics for Tk
.. sectionauthor:: Gregor Lingl <gregor.lingl@aon.at>

Introduction
============

Turtle graphics is a popular way for introducing programming to kids.  It was
part of the original Logo programming language developed by Wally Feurzig and
Seymour Papert in 1966.

Imagine a robotic turtle starting at (0, 0) in the x-y plane.  Give it the
command ``turtle.forward(15)``, and it moves (on-screen!) 15 pixels in the
direction it is facing, drawing a line as it moves.  Give it the command
``turtle.left(25)``, and it rotates in-place 25 degrees clockwise.

By combining together these and similar commands, intricate shapes and pictures
can easily be drawn.

The :mod:`turtle` module is an extended reimplementation of the same-named
module from the Python standard distribution up to version Python 2.5.

It tries to keep the merits of the old turtle module and to be (nearly) 100%
compatible with it.  This means in the first place to enable the learning
programmer to use all the commands, classes and methods interactively when using
the module from within IDLE run with the ``-n`` switch.

The turtle module provides turtle graphics primitives, in both object-oriented
and procedure-oriented ways.  Because it uses :mod:`Tkinter` for the underlying
graphics, it needs a version of python installed with Tk support.

The object-oriented interface uses essentially two+two classes:

1. The :class:`TurtleScreen` class defines graphics windows as a playground for
   the drawing turtles.  Its constructor needs a :class:`Tkinter.Canvas` or a
   :class:`ScrolledCanvas` as argument.  It should be used when :mod:`turtle` is
   used as part of some application.

   The function :func:`Screen` returns a singleton object of a
   :class:`TurtleScreen` subclass. This function should be used when
   :mod:`turtle` is used as a standalone tool for doing graphics.
   As a singleton object, inheriting from its class is not possible.

   All methods of TurtleScreen/Screen also exist as functions, i.e. as part of
   the procedure-oriented interface.

2. :class:`RawTurtle` (alias: :class:`RawPen`) defines Turtle objects which draw
   on a :class:`TurtleScreen`.  Its constructor needs a Canvas, ScrolledCanvas
   or TurtleScreen as argument, so the RawTurtle objects know where to draw.

   Derived from RawTurtle is the subclass :class:`Turtle` (alias: :class:`Pen`),
   which draws on "the" :class:`Screen` - instance which is automatically
   created, if not already present.

   All methods of RawTurtle/Turtle also exist as functions, i.e. part of the
   procedure-oriented interface.

The procedural interface provides functions which are derived from the methods
of the classes :class:`Screen` and :class:`Turtle`.  They have the same names as
the corresponding methods.  A screen object is automativally created whenever a
function derived from a Screen method is called.  An (unnamed) turtle object is
automatically created whenever any of the functions derived from a Turtle method
is called.

To use multiple turtles an a screen one has to use the object-oriented interface.

.. note::
   In the following documentation the argument list for functions is given.
   Methods, of course, have the additional first argument *self* which is
   omitted here.


Overview over available Turtle and Screen methods
=================================================

Turtle methods
--------------

Turtle motion
   Move and draw
      | :func:`forward` | :func:`fd`
      | :func:`backward` | :func:`bk` | :func:`back`
      | :func:`right` | :func:`rt`
      | :func:`left` | :func:`lt`
      | :func:`goto` | :func:`setpos` | :func:`setposition`
      | :func:`setx`
      | :func:`sety`
      | :func:`setheading` | :func:`seth`
      | :func:`home`
      | :func:`circle`
      | :func:`dot`
      | :func:`stamp`
      | :func:`clearstamp`
      | :func:`clearstamps`
      | :func:`undo`
      | :func:`speed`

   Tell Turtle's state
      | :func:`position` | :func:`pos`
      | :func:`towards`
      | :func:`xcor`
      | :func:`ycor`
      | :func:`heading`
      | :func:`distance`

   Setting and measurement
      | :func:`degrees`
      | :func:`radians`

Pen control
   Drawing state
      | :func:`pendown` | :func:`pd` | :func:`down`
      | :func:`penup` | :func:`pu` | :func:`up`
      | :func:`pensize` | :func:`width`
      | :func:`pen`
      | :func:`isdown`

   Color control
      | :func:`color`
      | :func:`pencolor`
      | :func:`fillcolor`

   Filling
      | :func:`filling`
      | :func:`begin_fill`
      | :func:`end_fill`

   More drawing control
      | :func:`reset`
      | :func:`clear`
      | :func:`write`

Turtle state
   Visibility
      | :func:`showturtle` | :func:`st`
      | :func:`hideturtle` | :func:`ht`
      | :func:`isvisible`

   Appearance
      | :func:`shape`
      | :func:`resizemode`
      | :func:`shapesize` | :func:`turtlesize`
      | :func:`settiltangle`
      | :func:`tiltangle`
      | :func:`tilt`

Using events
   | :func:`onclick`
   | :func:`onrelease`
   | :func:`ondrag`

Special Turtle methods
   | :func:`begin_poly`
   | :func:`end_poly`
   | :func:`get_poly`
   | :func:`clone`
   | :func:`getturtle` | :func:`getpen`
   | :func:`getscreen`
   | :func:`setundobuffer`
   | :func:`undobufferentries`


Methods of TurtleScreen/Screen
------------------------------

Window control
   | :func:`bgcolor`
   | :func:`bgpic`
   | :func:`clear` | :func:`clearscreen`
   | :func:`reset` | :func:`resetscreen`
   | :func:`screensize`
   | :func:`setworldcoordinates`

Animation control
   | :func:`delay`
   | :func:`tracer`
   | :func:`update`

Using screen events
   | :func:`listen`
   | :func:`onkey`
   | :func:`onclick` | :func:`onscreenclick`
   | :func:`ontimer`

Settings and special methods
   | :func:`mode`
   | :func:`colormode`
   | :func:`getcanvas`
   | :func:`getshapes`
   | :func:`register_shape` | :func:`addshape`
   | :func:`turtles`
   | :func:`window_height`
   | :func:`window_width`

Methods specific to Screen
   | :func:`bye`
   | :func:`exitonclick`
   | :func:`setup`
   | :func:`title`


Methods of RawTurtle/Turtle and corresponding functions
=======================================================

Most of the examples in this section refer to a Turtle instance called
``turtle``.

Turtle motion
-------------

.. function:: forward(distance)
              fd(distance)

   :param distance: a number (integer or float)

   Move the turtle forward by the specified *distance*, in the direction the
   turtle is headed.

   >>> turtle.position()
   (0.00, 0.00)
   >>> turtle.forward(25)
   >>> turtle.position()
   (25.00,0.00)
   >>> turtle.forward(-75)
   >>> turtle.position()
   (-50.00,0.00)


.. function:: back(distance)
              bk(distance)
              backward(distance)

   :param distance: a number

   Move the turtle backward by *distance*, opposite to the direction the
   turtle is headed.  Do not change the turtle's heading.

   >>> turtle.position()
   (0.00, 0.00)
   >>> turtle.backward(30)
   >>> turtle.position()
   (-30.00, 0.00)


.. function:: right(angle)
              rt(angle)

   :param angle: a number (integer or float)

   Turn turtle right by *angle* units.  (Units are by default degrees, but
   can be set via the :func:`degrees` and :func:`radians` functions.)  Angle
   orientation depends on the turtle mode, see :func:`mode`.

   >>> turtle.heading()
   22.0
   >>> turtle.right(45)
   >>> turtle.heading()
   337.0


.. function:: left(angle)
              lt(angle)

   :param angle: a number (integer or float)

   Turn turtle left by *angle* units.  (Units are by default degrees, but
   can be set via the :func:`degrees` and :func:`radians` functions.)  Angle
   orientation depends on the turtle mode, see :func:`mode`.

   >>> turtle.heading()
   22.0
   >>> turtle.left(45)
   >>> turtle.heading()
   67.0

.. function:: goto(x, y=None)
              setpos(x, y=None)
              setposition(x, y=None)

    :param x: a number or a pair/vector of numbers
    :param y: a number or ``None``

    If *y* is ``None``, *x* must be a pair of coordinates or a :class:`Vec2D`
    (e.g. as returned by :func:`pos`).

    Move turtle to an absolute position.  If the pen is down, draw line.  Do
    not change the turtle's orientation.

    >>> tp = turtle.pos()
    >>> tp
    (0.00, 0.00)
    >>> turtle.setpos(60,30)
    >>> turtle.pos()
    (60.00,30.00)
    >>> turtle.setpos((20,80))
    >>> turtle.pos()
    (20.00,80.00)
    >>> turtle.setpos(tp)
    >>> turtle.pos()
    (0.00,0.00)


.. function:: setx(x)

   :param x: a number (integer or float)

   Set the turtle's first coordinate to *x*, leave second coordinate
   unchanged.

   >>> turtle.position()
   (0.00, 240.00)
   >>> turtle.setx(10)
   >>> turtle.position()
   (10.00, 240.00)


.. function:: sety(y)

   :param y: a number (integer or float)

   Set the turtle's first coordinate to *y*, leave second coordinate
   unchanged.

   >>> turtle.position()
   (0.00, 40.00)
   >>> turtle.sety(-10)
   >>> turtle.position()
   (0.00, -10.00)


.. function:: setheading(to_angle)
              seth(to_angle)

   :param to_angle: a number (integer or float)

   Set the orientation of the turtle to *to_angle*.  Here are some common
   directions in degrees:

   =================== ====================
    standard mode           logo mode
   =================== ====================
      0 - east                0 - north
     90 - north              90 - east
    180 - west              180 - south
    270 - south             270 - west
   =================== ====================

   >>> turtle.setheading(90)
   >>> turtle.heading()
   90


.. function:: home()

   Move turtle to the origin -- coordinates (0,0) -- and set its heading to
   its start-orientation (which depends on the mode, see :func:`mode`).


.. function:: circle(radius, extent=None, steps=None)

   :param radius: a number
   :param extent: a number (or ``None``)
   :param steps: an integer (or ``None``)

   Draw a circle with given *radius*.  The center is *radius* units left of
   the turtle; *extent* -- an angle -- determines which part of the circle
   is drawn.  If *extent* is not given, draw the entire circle.  If *extent*
   is not a full circle, one endpoint of the arc is the current pen
   position.  Draw the arc in counterclockwise direction if *radius* is
   positive, otherwise in clockwise direction.  Finally the direction of the
   turtle is changed by the amount of *extent*.

   As the circle is approximated by an inscribed regular polygon, *steps*
   determines the number of steps to use.  If not given, it will be
   calculated automatically.  May be used to draw regular polygons.

   >>> turtle.circle(50)
   >>> turtle.circle(120, 180)  # draw a semicircle


.. function:: dot(size=None, *color)

   :param size: an integer >= 1 (if given)
   :param color: a colorstring or a numeric color tuple

   Draw a circular dot with diameter *size*, using *color*.  If *size* is
   not given, the maximum of pensize+4 and 2*pensize is used.

   >>> turtle.dot()
   >>> turtle.fd(50); turtle.dot(20, "blue"); turtle.fd(50)


.. function:: stamp()

   Stamp a copy of the turtle shape onto the canvas at the current turtle
   position.  Return a stamp_id for that stamp, which can be used to delete
   it by calling ``clearstamp(stamp_id)``.

   >>> turtle.color("blue")
   >>> turtle.stamp()
   13
   >>> turtle.fd(50)


.. function:: clearstamp(stampid)

   :param stampid: an integer, must be return value of previous
                   :func:`stamp` call

   Delete stamp with given *stampid*.

   >>> turtle.color("blue")
   >>> astamp = turtle.stamp()
   >>> turtle.fd(50)
   >>> turtle.clearstamp(astamp)


.. function:: clearstamps(n=None)

   :param n: an integer (or ``None``)

   Delete all or first/last *n* of turtle's stamps.  If *n* is None, delete
   all stamps, if *n* > 0 delete first *n* stamps, else if *n* < 0 delete
   last *n* stamps.

   >>> for i in range(8):
   ...     turtle.stamp(); turtle.fd(30)
   >>> turtle.clearstamps(2)
   >>> turtle.clearstamps(-2)
   >>> turtle.clearstamps()


.. function:: undo()

   Undo (repeatedly) the last turtle action(s).  Number of available
   undo actions is determined by the size of the undobuffer.

   >>> for i in range(4):
   ...     turtle.fd(50); turtle.lt(80)
   ...
   >>> for i in range(8):
   ...     turtle.undo()


.. function:: speed(speed=None)

   :param speed: an integer in the range 0..10 or a speedstring (see below)

   Set the turtle's speed to an integer value in the range 0..10.  If no
   argument is given, return current speed.

   If input is a number greater than 10 or smaller than 0.5, speed is set
   to 0.  Speedstrings are mapped to speedvalues as follows:

   * "fastest":  0
   * "fast":  10
   * "normal":  6
   * "slow":  3
   * "slowest":  1

   Speeds from 1 to 10 enforce increasingly faster animation of line drawing
   and turtle turning.

   Attention: *speed* = 0 means that *no* animation takes
   place. forward/back makes turtle jump and likewise left/right make the
   turtle turn instantly.

   >>> turtle.speed(3)


Tell Turtle's state
-------------------

.. function:: position()
              pos()

   Return the turtle's current location (x,y) (as a :class:`Vec2D` vector).

   >>> turtle.pos()
   (0.00, 240.00)


.. function:: towards(x, y=None)

   :param x: a number or a pair/vector of numbers or a turtle instance
   :param y: a number if *x* is a number, else ``None``

   Return the angle between the line from turtle position to position specified
   by (x,y), the vector or the other turtle.  This depends on the turtle's start
   orientation which depends on the mode - "standard"/"world" or "logo").

   >>> turtle.pos()
   (10.00, 10.00)
   >>> turtle.towards(0,0)
   225.0


.. function:: xcor()

   Return the turtle's x coordinate.

   >>> reset()
   >>> turtle.left(60)
   >>> turtle.forward(100)
   >>> print turtle.xcor()
   50.0


.. function:: ycor()

   Return the turtle's y coordinate.

   >>> reset()
   >>> turtle.left(60)
   >>> turtle.forward(100)
   >>> print turtle.ycor()
   86.6025403784


.. function:: heading()

   Return the turtle's current heading (value depends on the turtle mode, see
   :func:`mode`).

   >>> turtle.left(67)
   >>> turtle.heading()
   67.0


.. function:: distance(x, y=None)

   :param x: a number or a pair/vector of numbers or a turtle instance
   :param y: a number if *x* is a number, else ``None``

   Return the distance from the turtle to (x,y), the given vector, or the given
   other turtle, in turtle step units.

   >>> turtle.pos()
   (0.00, 0.00)
   >>> turtle.distance(30,40)
   50.0
   >>> joe = Turtle()
   >>> joe.forward(77)
   >>> turtle.distance(joe)
   77.0


Settings for measurement
------------------------

.. function:: degrees(fullcircle=360.0)

   :param fullcircle: a number

   Set angle measurement units, i.e. set number of "degrees" for a full circle.
   Default value is 360 degrees.

   >>> turtle.left(90)
   >>> turtle.heading()
   90
   >>> turtle.degrees(400.0)  # angle measurement in gon
   >>> turtle.heading()
   100


.. function:: radians()

   Set the angle measurement units to radians.  Equivalent to
   ``degrees(2*math.pi)``.

   >>> turtle.heading()
   90
   >>> turtle.radians()
   >>> turtle.heading()
   1.5707963267948966


Pen control
-----------

Drawing state
~~~~~~~~~~~~~

.. function:: pendown()
              pd()
              down()

   Pull the pen down -- drawing when moving.


.. function:: penup()
              pu()
              up()

   Pull the pen up -- no drawing when moving.


.. function:: pensize(width=None)
              width(width=None)

   :param width: a positive number

   Set the line thickness to *width* or return it.  If resizemode is set to
   "auto" and turtleshape is a polygon, that polygon is drawn with the same line
   thickness.  If no argument is given, the current pensize is returned.

   >>> turtle.pensize()
   1
   >>> turtle.pensize(10)   # from here on lines of width 10 are drawn


.. function:: pen(pen=None, **pendict)

   :param pen: a dictionary with some or all of the below listed keys
   :param pendict: one or more keyword-arguments with the below listed keys as keywords

   Return or set the pen's attributes in a "pen-dictionary" with the following
   key/value pairs:

   * "shown": True/False
   * "pendown": True/False
   * "pencolor": color-string or color-tuple
   * "fillcolor": color-string or color-tuple
   * "pensize": positive number
   * "speed": number in range 0..10
   * "resizemode": "auto" or "user" or "noresize"
   * "stretchfactor": (positive number, positive number)
   * "outline": positive number
   * "tilt": number

   This dicionary can be used as argument for a subsequent call to :func:`pen`
   to restore the former pen-state.  Moreover one or more of these attributes
   can be provided as keyword-arguments.  This can be used to set several pen
   attributes in one statement.

   >>> turtle.pen(fillcolor="black", pencolor="red", pensize=10)
   >>> turtle.pen()
   {'pensize': 10, 'shown': True, 'resizemode': 'auto', 'outline': 1,
   'pencolor': 'red', 'pendown': True, 'fillcolor': 'black',
   'stretchfactor': (1,1), 'speed': 3}
   >>> penstate=turtle.pen()
   >>> turtle.color("yellow","")
   >>> turtle.penup()
   >>> turtle.pen()
   {'pensize': 10, 'shown': True, 'resizemode': 'auto', 'outline': 1,
   'pencolor': 'yellow', 'pendown': False, 'fillcolor': '',
   'stretchfactor': (1,1), 'speed': 3}
   >>> p.pen(penstate, fillcolor="green")
   >>> p.pen()
   {'pensize': 10, 'shown': True, 'resizemode': 'auto', 'outline': 1,
   'pencolor': 'red', 'pendown': True, 'fillcolor': 'green',
   'stretchfactor': (1,1), 'speed': 3}


.. function:: isdown()

   Return ``True`` if pen is down, ``False`` if it's up.

   >>> turtle.penup()
   >>> turtle.isdown()
   False
   >>> turtle.pendown()
   >>> turtle.isdown()
   True


Color control
~~~~~~~~~~~~~

.. function:: pencolor(*args)

   Return or set the pencolor.

   Four input formats are allowed:

   ``pencolor()``
      Return the current pencolor as color specification string, possibly in
      hex-number format (see example).  May be used as input to another
      color/pencolor/fillcolor call.

   ``pencolor(colorstring)``
      Set pencolor to *colorstring*, which is a Tk color specification string,
      such as ``"red"``, ``"yellow"``, or ``"#33cc8c"``.

   ``pencolor((r, g, b))``
      Set pencolor to the RGB color represented by the tuple of *r*, *g*, and
      *b*.  Each of *r*, *g*, and *b* must be in the range 0..colormode, where
      colormode is either 1.0 or 255 (see :func:`colormode`).

   ``pencolor(r, g, b)``
      Set pencolor to the RGB color represented by *r*, *g*, and *b*.  Each of
      *r*, *g*, and *b* must be in the range 0..colormode.

    If turtleshape is a polygon, the outline of that polygon is drawn with the
    newly set pencolor.

    >>> turtle.pencolor("brown")
    >>> tup = (0.2, 0.8, 0.55)
    >>> turtle.pencolor(tup)
    >>> turtle.pencolor()
    "#33cc8c"


.. function:: fillcolor(*args)

   Return or set the fillcolor.

   Four input formats are allowed:

   ``fillcolor()``
      Return the current fillcolor as color specification string, possibly in
      hex-number format (see example).  May be used as input to another
      color/pencolor/fillcolor call.

   ``fillcolor(colorstring)``
      Set fillcolor to *colorstring*, which is a Tk color specification string,
      such as ``"red"``, ``"yellow"``, or ``"#33cc8c"``.

   ``fillcolor((r, g, b))``
      Set fillcolor to the RGB color represented by the tuple of *r*, *g*, and
      *b*.  Each of *r*, *g*, and *b* must be in the range 0..colormode, where
      colormode is either 1.0 or 255 (see :func:`colormode`).

   ``fillcolor(r, g, b)``
      Set fillcolor to the RGB color represented by *r*, *g*, and *b*.  Each of
      *r*, *g*, and *b* must be in the range 0..colormode.

    If turtleshape is a polygon, the interior of that polygon is drawn
    with the newly set fillcolor.

    >>> turtle.fillcolor("violet")
    >>> col = turtle.pencolor()
    >>> turtle.fillcolor(col)
    >>> turtle.fillcolor(0, .5, 0)


.. function:: color(*args)

   Return or set pencolor and fillcolor.

   Several input formats are allowed.  They use 0 to 3 arguments as
   follows:

   ``color()``
      Return the current pencolor and the current fillcolor as a pair of color
      specification strings as returned by :func:`pencolor` and
      :func:`fillcolor`.

   ``color(colorstring)``, ``color((r,g,b))``, ``color(r,g,b)``
      Inputs as in :func:`pencolor`, set both, fillcolor and pencolor, to the
      given value.

   ``color(colorstring1, colorstring2)``, ``color((r1,g1,b1), (r2,g2,b2))``
      Equivalent to ``pencolor(colorstring1)`` and ``fillcolor(colorstring2)``
      and analogously if the other input format is used.

    If turtleshape is a polygon, outline and interior of that polygon is drawn
    with the newly set colors.

    >>> turtle.color("red", "green")
    >>> turtle.color()
    ("red", "green")
    >>> colormode(255)
    >>> color((40, 80, 120), (160, 200, 240))
    >>> color()
    ("#285078", "#a0c8f0")


See also: Screen method :func:`colormode`.


Filling
~~~~~~~

.. function:: filling()

   Return fillstate (``True`` if filling, ``False`` else).

   >>> turtle.begin_fill()
   >>> if turtle.filling():
   ...    turtle.pensize(5)
   else:
   ...    turtle.pensize(3)


.. function:: begin_fill()

   To be called just before drawing a shape to be filled.

   >>> turtle.color("black", "red")
   >>> turtle.begin_fill()
   >>> turtle.circle(60)
   >>> turtle.end_fill()


.. function:: end_fill()

   Fill the shape drawn after the last call to :func:`begin_fill`.


More drawing control
~~~~~~~~~~~~~~~~~~~~

.. function:: reset()

   Delete the turtle's drawings from the screen, re-center the turtle and set
   variables to the default values.

   >>> turtle.position()
   (0.00,-22.00)
   >>> turtle.heading()
   100.0
   >>> turtle.reset()
   >>> turtle.position()
   (0.00,0.00)
   >>> turtle.heading()
   0.0


.. function:: clear()

   Delete the turtle's drawings from the screen.  Do not move turtle.  State and
   position of the turtle as well as drawings of other turtles are not affected.


.. function:: write(arg, move=False, align="left", font=("Arial", 8, "normal"))

   :param arg: object to be written to the TurtleScreen
   :param move: True/False
   :param align: one of the strings "left", "center" or right"
   :param font: a triple (fontname, fontsize, fonttype)

   Write text - the string representation of *arg* - at the current turtle
   position according to *align* ("left", "center" or right") and with the given
   font.  If *move* is True, the pen is moved to the bottom-right corner of the
   text.  By default, *move* is False.

   >>> turtle.write("Home = ", True, align="center")
   >>> turtle.write((0,0), True)


Turtle state
------------

Visibility
~~~~~~~~~~

.. function:: showturtle()
              st()

   Make the turtle visible.

   >>> turtle.hideturtle()
   >>> turtle.showturtle()


.. function:: hideturtle()
              ht()

   Make the turtle invisible.  It's a good idea to do this while you're in the
   middle of doing some complex drawing, because hiding the turtle speeds up the
   drawing observably.

   >>> turtle.hideturtle()


.. function:: isvisible()

   Return True if the Turtle is shown, False if it's hidden.

   >>> turtle.hideturtle()
   >>> print turtle.isvisible():
   False


Appearance
~~~~~~~~~~

.. function:: shape(name=None)

   :param name: a string which is a valid shapename

   Set turtle shape to shape with given *name* or, if name is not given, return
   name of current shape.  Shape with *name* must exist in the TurtleScreen's
   shape dictionary.  Initially there are the following polygon shapes: "arrow",
   "turtle", "circle", "square", "triangle", "classic".  To learn about how to
   deal with shapes see Screen method :func:`register_shape`.

   >>> turtle.shape()
   "arrow"
   >>> turtle.shape("turtle")
   >>> turtle.shape()
   "turtle"


.. function:: resizemode(rmode=None)

   :param rmode: one of the strings "auto", "user", "noresize"

   Set resizemode to one of the values: "auto", "user", "noresize".  If *rmode*
   is not given, return current resizemode.  Different resizemodes have the
   following effects:

   - "auto": adapts the appearance of the turtle corresponding to the value of pensize.
   - "user": adapts the appearance of the turtle according to the values of
     stretchfactor and outlinewidth (outline), which are set by
     :func:`shapesize`.
   - "noresize": no adaption of the turtle's appearance takes place.

   resizemode("user") is called by :func:`shapesize` when used with arguments.

   >>> turtle.resizemode("noresize")
   >>> turtle.resizemode()
   "noresize"


.. function:: shapesize(stretch_wid=None, stretch_len=None, outline=None)

   :param stretch_wid: positive number
   :param stretch_len: positive number
   :param outline: positive number

   Return or set the pen's attributes x/y-stretchfactors and/or outline.  Set
   resizemode to "user".  If and only if resizemode is set to "user", the turtle
   will be displayed stretched according to its stretchfactors: *stretch_wid* is
   stretchfactor perpendicular to its orientation, *stretch_len* is
   stretchfactor in direction of its orientation, *outline* determines the width
   of the shapes's outline.

   >>> turtle.resizemode("user")
   >>> turtle.shapesize(5, 5, 12)
   >>> turtle.shapesize(outline=8)


.. function:: tilt(angle)

   :param angle: a number

   Rotate the turtleshape by *angle* from its current tilt-angle, but do *not*
   change the turtle's heading (direction of movement).

   >>> turtle.shape("circle")
   >>> turtle.shapesize(5,2)
   >>> turtle.tilt(30)
   >>> turtle.fd(50)
   >>> turtle.tilt(30)
   >>> turtle.fd(50)


.. function:: settiltangle(angle)

   :param angle: a number

   Rotate the turtleshape to point in the direction specified by *angle*,
   regardless of its current tilt-angle.  *Do not* change the turtle's heading
   (direction of movement).

   >>> turtle.shape("circle")
   >>> turtle.shapesize(5,2)
   >>> turtle.settiltangle(45)
   >>> stamp()
   >>> turtle.fd(50)
   >>> turtle.settiltangle(-45)
   >>> stamp()
   >>> turtle.fd(50)


.. function:: tiltangle()

   Return the current tilt-angle, i.e. the angle between the orientation of the
   turtleshape and the heading of the turtle (its direction of movement).

   >>> turtle.shape("circle")
   >>> turtle.shapesize(5,2)
   >>> turtle.tilt(45)
   >>> turtle.tiltangle()
   45


Using events
------------

.. function:: onclick(fun, btn=1, add=None)

   :param fun: a function with two arguments which will be called with the
               coordinates of the clicked point on the canvas
   :param num: number of the mouse-button, defaults to 1 (left mouse button)
   :param add: ``True`` or ``False`` -- if ``True``, a new binding will be
               added, otherwise it will replace a former binding

   Bind *fun* to mouse-click events on this turtle.  If *fun* is ``None``,
   existing bindings are removed.  Example for the anonymous turtle, i.e. the
   procedural way:

   >>> def turn(x, y):
   ...     left(180)
   ...
   >>> onclick(turn)  # Now clicking into the turtle will turn it.
   >>> onclick(None)  # event-binding will be removed


.. function:: onrelease(fun, btn=1, add=None)

   :param fun: a function with two arguments which will be called with the
               coordinates of the clicked point on the canvas
   :param num: number of the mouse-button, defaults to 1 (left mouse button)
   :param add: ``True`` or ``False`` -- if ``True``, a new binding will be
               added, otherwise it will replace a former binding

   Bind *fun* to mouse-button-release events on this turtle.  If *fun* is
   ``None``, existing bindings are removed.

   >>> class MyTurtle(Turtle):
   ...     def glow(self,x,y):
   ...         self.fillcolor("red")
   ...     def unglow(self,x,y):
   ...         self.fillcolor("")
   ...
   >>> turtle = MyTurtle()
   >>> turtle.onclick(turtle.glow)     # clicking on turtle turns fillcolor red,
   >>> turtle.onrelease(turtle.unglow) # releasing turns it to transparent.


.. function:: ondrag(fun, btn=1, add=None)

   :param fun: a function with two arguments which will be called with the
               coordinates of the clicked point on the canvas
   :param num: number of the mouse-button, defaults to 1 (left mouse button)
   :param add: ``True`` or ``False`` -- if ``True``, a new binding will be
               added, otherwise it will replace a former binding

   Bind *fun* to mouse-move events on this turtle.  If *fun* is ``None``,
   existing bindings are removed.

   Remark: Every sequence of mouse-move-events on a turtle is preceded by a
   mouse-click event on that turtle.

   >>> turtle.ondrag(turtle.goto)
   # Subsequently, clicking and dragging the Turtle will move it across
   # the screen thereby producing handdrawings (if pen is down).


Special Turtle methods
----------------------

.. function:: begin_poly()

   Start recording the vertices of a polygon.  Current turtle position is first
   vertex of polygon.


.. function:: end_poly()

   Stop recording the vertices of a polygon.  Current turtle position is last
   vertex of polygon.  This will be connected with the first vertex.


.. function:: get_poly()

   Return the last recorded polygon.

   >>> p = turtle.get_poly()
   >>> turtle.register_shape("myFavouriteShape", p)


.. function:: clone()

   Create and return a clone of the turtle with same position, heading and
   turtle properties.

   >>> mick = Turtle()
   >>> joe = mick.clone()


.. function:: getturtle()

   Return the Turtle object itself.  Only reasonable use: as a function to
   return the "anonymous turtle":

   >>> pet = getturtle()
   >>> pet.fd(50)
   >>> pet
   <turtle.Turtle object at 0x01417350>
   >>> turtles()
   [<turtle.Turtle object at 0x01417350>]


.. function:: getscreen()

   Return the :class:`TurtleScreen` object the turtle is drawing on.
   TurtleScreen methods can then be called for that object.

   >>> ts = turtle.getscreen()
   >>> ts
   <turtle.Screen object at 0x01417710>
   >>> ts.bgcolor("pink")


.. function:: setundobuffer(size)

   :param size: an integer or ``None``

   Set or disable undobuffer.  If *size* is an integer an empty undobuffer of
   given size is installed.  *size* gives the maximum number of turtle actions
   that can be undone by the :func:`undo` method/function.  If *size* is
   ``None``, the undobuffer is disabled.

   >>> turtle.setundobuffer(42)


.. function:: undobufferentries()

   Return number of entries in the undobuffer.

   >>> while undobufferentries():
   ...     undo()


.. _compoundshapes:

Excursus about the use of compound shapes
-----------------------------------------

To use compound turtle shapes, which consist of several polygons of different
color, you must use the helper class :class:`Shape` explicitly as described
below:

1. Create an empty Shape object of type "compound".
2. Add as many components to this object as desired, using the
   :meth:`addcomponent` method.

   For example:

   >>> s = Shape("compound")
   >>> poly1 = ((0,0),(10,-5),(0,10),(-10,-5))
   >>> s.addcomponent(poly1, "red", "blue")
   >>> poly2 = ((0,0),(10,-5),(-10,-5))
   >>> s.addcomponent(poly2, "blue", "red")

3. Now add the Shape to the Screen's shapelist and use it:

   >>> register_shape("myshape", s)
   >>> shape("myshape")


.. note::

   The :class:`Shape` class is used internally by the :func:`register_shape`
   method in different ways.  The application programmer has to deal with the
   Shape class *only* when using compound shapes like shown above!


Methods of TurtleScreen/Screen and corresponding functions
==========================================================

Most of the examples in this section refer to a TurtleScreen instance called
``screen``.


Window control
--------------

.. function:: bgcolor(*args)

   :param args: a color string or three numbers in the range 0..colormode or a
                3-tuple of such numbers

   Set or return background color of the TurtleScreen.

   >>> screen.bgcolor("orange")
   >>> screen.bgcolor()
   "orange"
   >>> screen.bgcolor(0.5,0,0.5)
   >>> screen.bgcolor()
   "#800080"


.. function:: bgpic(picname=None)

   :param picname: a string, name of a gif-file or ``"nopic"``, or ``None``

   Set background image or return name of current backgroundimage.  If *picname*
   is a filename, set the corresponding image as background.  If *picname* is
   ``"nopic"``, delete background image, if present.  If *picname* is ``None``,
   return the filename of the current backgroundimage.

   >>> screen.bgpic()
   "nopic"
   >>> screen.bgpic("landscape.gif")
   >>> screen.bgpic()
   "landscape.gif"


.. function:: clear()
              clearscreen()

   Delete all drawings and all turtles from the TurtleScreen.  Reset the now
   empty TurtleScreen to its initial state: white background, no background
   image, no event bindings and tracing on.

   .. note::
      This TurtleScreen method is available as a global function only under the
      name ``clearscreen``.  The global function ``clear`` is another one
      derived from the Turtle method ``clear``.


.. function:: reset()
              resetscreen()

   Reset all Turtles on the Screen to their initial state.

   .. note::
      This TurtleScreen method is available as a global function only under the
      name ``resetscreen``.  The global function ``reset`` is another one
      derived from the Turtle method ``reset``.


.. function:: screensize(canvwidth=None, canvheight=None, bg=None)

   :param canvwidth: positive integer, new width of canvas in pixels
   :param canvheight: positive integer, new height of canvas in pixels
   :param bg: colorstring or color-tupel, new background color

   If no arguments are given, return current (canvaswidth, canvasheight).  Else
   resize the canvas the turtles are drawing on.  Do not alter the drawing
   window.  To observe hidden parts of the canvas, use the scrollbars. With this
   method, one can make visible those parts of a drawing which were outside the
   canvas before.

      >>> turtle.screensize(2000,1500)
      # e.g. to search for an erroneously escaped turtle ;-)


.. function:: setworldcoordinates(llx, lly, urx, ury)

   :param llx: a number, x-coordinate of lower left corner of canvas
   :param lly: a number, y-coordinate of lower left corner of canvas
   :param urx: a number, x-coordinate of upper right corner of canvas
   :param ury: a number, y-coordinate of upper right corner of canvas

   Set up user-defined coordinate system and switch to mode "world" if
   necessary.  This performs a ``screen.reset()``.  If mode "world" is already
   active, all drawings are redrawn according to the new coordinates.

   **ATTENTION**: in user-defined coordinate systems angles may appear
   distorted.

   >>> screen.reset()
   >>> screen.setworldcoordinates(-50,-7.5,50,7.5)
   >>> for _ in range(72):
   ...     left(10)
   ...
   >>> for _ in range(8):
   ...     left(45); fd(2)   # a regular octagon


Animation control
-----------------

.. function:: delay(delay=None)

   :param delay: positive integer

   Set or return the drawing *delay* in milliseconds.  (This is approximately
   the time interval between two consecutive canvas updates.)  The longer the
   drawing delay, the slower the animation.

   Optional argument:

   >>> screen.delay(15)
   >>> screen.delay()
   15


.. function:: tracer(n=None, delay=None)

   :param n: nonnegative integer
   :param delay: nonnegative integer

   Turn turtle animation on/off and set delay for update drawings.  If *n* is
   given, only each n-th regular screen update is really performed.  (Can be
   used to accelerate the drawing of complex graphics.)  Second argument sets
   delay value (see :func:`delay`).

   >>> screen.tracer(8, 25)
   >>> dist = 2
   >>> for i in range(200):
   ...     fd(dist)
   ...     rt(90)
   ...     dist += 2


.. function:: update()

   Perform a TurtleScreen update. To be used when tracer is turned off.

See also the RawTurtle/Turtle method :func:`speed`.


Using screen events
-------------------

.. function:: listen(xdummy=None, ydummy=None)

   Set focus on TurtleScreen (in order to collect key-events).  Dummy arguments
   are provided in order to be able to pass :func:`listen` to the onclick method.


.. function:: onkey(fun, key)

   :param fun: a function with no arguments or ``None``
   :param key: a string: key (e.g. "a") or key-symbol (e.g. "space")

   Bind *fun* to key-release event of key.  If *fun* is ``None``, event bindings
   are removed. Remark: in order to be able to register key-events, TurtleScreen
   must have the focus. (See method :func:`listen`.)

   >>> def f():
   ...     fd(50)
   ...     lt(60)
   ...
   >>> screen.onkey(f, "Up")
   >>> screen.listen()


.. function:: onclick(fun, btn=1, add=None)
              onscreenclick(fun, btn=1, add=None)

   :param fun: a function with two arguments which will be called with the
               coordinates of the clicked point on the canvas
   :param num: number of the mouse-button, defaults to 1 (left mouse button)
   :param add: ``True`` or ``False`` -- if ``True``, a new binding will be
               added, otherwise it will replace a former binding

   Bind *fun* to mouse-click events on this screen.  If *fun* is ``None``,
   existing bindings are removed.

   Example for a TurtleScreen instance named ``screen`` and a Turtle instance
   named turtle:

   >>> screen.onclick(turtle.goto)
   # Subsequently clicking into the TurtleScreen will
   # make the turtle move to the clicked point.
   >>> screen.onclick(None)  # remove event binding again

   .. note::
      This TurtleScreen method is available as a global function only under the
      name ``onscreenclick``.  The global function ``onclick`` is another one
      derived from the Turtle method ``onclick``.


.. function:: ontimer(fun, t=0)

   :param fun: a function with no arguments
   :param t: a number >= 0

   Install a timer that calls *fun* after *t* milliseconds.

   >>> running = True
   >>> def f():
           if running:
               fd(50)
               lt(60)
               screen.ontimer(f, 250)
   >>> f()   ### makes the turtle marching around
   >>> running = False


Settings and special methods
----------------------------

.. function:: mode(mode=None)

   :param mode: one of the strings "standard", "logo" or "world"

   Set turtle mode ("standard", "logo" or "world") and perform reset.  If mode
   is not given, current mode is returned.

   Mode "standard" is compatible with old :mod:`turtle`.  Mode "logo" is
   compatible with most Logo turtle graphics.  Mode "world" uses user-defined
   "world coordinates". **Attention**: in this mode angles appear distorted if
   ``x/y`` unit-ratio doesn't equal 1.

   ============ ========================= ===================
       Mode      Initial turtle heading     positive angles
   ============ ========================= ===================
    "standard"    to the right (east)       counterclockwise
      "logo"        upward    (north)         clockwise
   ============ ========================= ===================

   >>> mode("logo")   # resets turtle heading to north
   >>> mode()
   "logo"


.. function:: colormode(cmode=None)

   :param cmode: one of the values 1.0 or 255

   Return the colormode or set it to 1.0 or 255.  Subsequently *r*, *g*, *b*
   values of color triples have to be in the range 0..\ *cmode*.

   >>> screen.colormode()
   1.0
   >>> screen.colormode(255)
   >>> turtle.pencolor(240,160,80)


.. function:: getcanvas()

   Return the Canvas of this TurtleScreen.  Useful for insiders who know what to
   do with a Tkinter Canvas.

   >>> cv = screen.getcanvas()
   >>> cv
   <turtle.ScrolledCanvas instance at 0x010742D8>


.. function:: getshapes()

   Return a list of names of all currently available turtle shapes.

   >>> screen.getshapes()
   ["arrow", "blank", "circle", ..., "turtle"]


.. function:: register_shape(name, shape=None)
              addshape(name, shape=None)

   There are three different ways to call this function:

   (1) *name* is the name of a gif-file and *shape* is ``None``: Install the
       corresponding image shape.

       .. note::
          Image shapes *do not* rotate when turning the turtle, so they do not
          display the heading of the turtle!

   (2) *name* is an arbitrary string and *shape* is a tuple of pairs of
       coordinates: Install the corresponding polygon shape.

   (3) *name* is an arbitrary string and shape is a (compound) :class:`Shape`
       object: Install the corresponding compound shape.

   Add a turtle shape to TurtleScreen's shapelist.  Only thusly registered
   shapes can be used by issuing the command ``shape(shapename)``.

   >>> screen.register_shape("turtle.gif")
   >>> screen.register_shape("triangle", ((5,-3), (0,5), (-5,-3)))


.. function:: turtles()

   Return the list of turtles on the screen.

   >>> for turtle in screen.turtles()
   ...     turtle.color("red")


.. function:: window_height()

   Return the height of the turtle window.

   >>> screen.window_height()
   480


.. function:: window_width()

   Return the width of the turtle window.

   >>> screen.window_width()
   640


.. _screenspecific:

Methods specific to Screen, not inherited from TurtleScreen
-----------------------------------------------------------

.. function:: bye()

   Shut the turtlegraphics window.


.. function:: exitonclick()

   Bind bye() method to mouse clicks on the Screen.


   If the value "using_IDLE" in the configuration dictionary is ``False``
   (default value), also enter mainloop.  Remark: If IDLE with the ``-n`` switch
   (no subprocess) is used, this value should be set to ``True`` in
   :file:`turtle.cfg`.  In this case IDLE's own mainloop is active also for the
   client script.


.. function:: setup(width=_CFG["width"], height=_CFG["height"], startx=_CFG["leftright"], starty=_CFG["topbottom"])

   Set the size and position of the main window.  Default values of arguments
   are stored in the configuration dicionary and can be changed via a
   :file:`turtle.cfg` file.

   :param width: if an integer, a size in pixels, if a float, a fraction of the
                 screen; default is 50% of screen
   :param height: if an integer, the height in pixels, if a float, a fraction of
                  the screen; default is 75% of screen
   :param startx: if positive, starting position in pixels from the left
                  edge of the screen, if negative from the right edge, if None,
                  center window horizontally
   :param startx: if positive, starting position in pixels from the top
                  edge of the screen, if negative from the bottom edge, if None,
                  center window vertically

   >>> screen.setup (width=200, height=200, startx=0, starty=0)
   # sets window to 200x200 pixels, in upper left of screen
   >>> screen.setup(width=.75, height=0.5, startx=None, starty=None)
   # sets window to 75% of screen by 50% of screen and centers


.. function:: title(titlestring)

   :param titlestring: a string that is shown in the titlebar of the turtle
                       graphics window

   Set title of turtle window to *titlestring*.

   >>> screen.title("Welcome to the turtle zoo!")


The public classes of the module :mod:`turtle`
==============================================


.. class:: RawTurtle(canvas)
           RawPen(canvas)

   :param canvas: a :class:`Tkinter.Canvas`, a :class:`ScrolledCanvas` or a
                  :class:`TurtleScreen`

    Create a turtle.  The turtle has all methods described above as "methods of
    Turtle/RawTurtle".


.. class:: Turtle()

    Subclass of RawTurtle, has the same interface but draws on a default
    :class:`Screen` object created automatically when needed for the first time.


.. class:: TurtleScreen(cv)

   :param cv: a :class:`Tkinter.Canvas`

   Provides screen oriented methods like :func:`setbg` etc. that are described
   above.

.. class:: Screen()

   Subclass of TurtleScreen, with :ref:`four methods added <screenspecific>`.


.. class:: ScrolledCavas(master)

   :param master: some Tkinter widget to contain the ScrolledCanvas, i.e.
      a Tkinter-canvas with scrollbars added

   Used by class Screen, which thus automatically provides a ScrolledCanvas as
   playground for the turtles.

.. class:: Shape(type_, data)

   :param type\_: one of the strings "polygon", "image", "compound"

   Data structure modeling shapes.  The pair ``(type_, data)`` must follow this
   specification:


   =========== ===========
   *type_*     *data*
   =========== ===========
   "polygon"   a polygon-tuple, i.e. a tuple of pairs of coordinates
   "image"     an image  (in this form only used internally!)
   "compound"  ``None`` (a compund shape has to be constructed using the
               :meth:`addcomponent` method)
   =========== ===========

   .. method:: addcomponent(poly, fill, outline=None)

      :param poly: a polygon, i.e. a tuple of pairs of numbers
      :param fill: a color the *poly* will be filled with
      :param outline: a color for the poly's outline (if given)

      Example:

      >>> poly = ((0,0),(10,-5),(0,10),(-10,-5))
      >>> s = Shape("compound")
      >>> s.addcomponent(poly, "red", "blue")
      # .. add more components and then use register_shape()

      See :ref:`compoundshapes`.


.. class:: Vec2D(x, y)

   A two-dimensional vector class, used as a helper class for implementing
   turtle graphics.  May be useful for turtle graphics programs too.  Derived
   from tuple, so a vector is a tuple!

   Provides (for *a*, *b* vectors, *k* number):

   * ``a + b`` vector addition
   * ``a - b`` vector subtraction
   * ``a * b`` inner product
   * ``k * a`` and ``a * k`` multiplication with scalar
   * ``abs(a)`` absolute value of a
   * ``a.rotate(angle)`` rotation


Help and configuration
======================

How to use help
---------------

The public methods of the Screen and Turtle classes are documented extensively
via docstrings.  So these can be used as online-help via the Python help
facilities:

- When using IDLE, tooltips show the signatures and first lines of the
  docstrings of typed in function-/method calls.

- Calling :func:`help` on methods or functions displays the docstrings::

     >>> help(Screen.bgcolor)
     Help on method bgcolor in module turtle:

     bgcolor(self, *args) unbound turtle.Screen method
         Set or return backgroundcolor of the TurtleScreen.

         Arguments (if given): a color string or three numbers
         in the range 0..colormode or a 3-tuple of such numbers.


           >>> screen.bgcolor("orange")
           >>> screen.bgcolor()
           "orange"
           >>> screen.bgcolor(0.5,0,0.5)
           >>> screen.bgcolor()
           "#800080"

     >>> help(Turtle.penup)
     Help on method penup in module turtle:

     penup(self) unbound turtle.Turtle method
         Pull the pen up -- no drawing when moving.

         Aliases: penup | pu | up

         No argument

         >>> turtle.penup()

- The docstrings of the functions which are derived from methods have a modified
  form::

     >>> help(bgcolor)
     Help on function bgcolor in module turtle:

     bgcolor(*args)
         Set or return backgroundcolor of the TurtleScreen.

         Arguments (if given): a color string or three numbers
         in the range 0..colormode or a 3-tuple of such numbers.

         Example::

           >>> bgcolor("orange")
           >>> bgcolor()
           "orange"
           >>> bgcolor(0.5,0,0.5)
           >>> bgcolor()
           "#800080"

     >>> help(penup)
     Help on function penup in module turtle:

     penup()
         Pull the pen up -- no drawing when moving.

         Aliases: penup | pu | up

         No argument

         Example:
         >>> penup()

These modified docstrings are created automatically together with the function
definitions that are derived from the methods at import time.


Translation of docstrings into different languages
--------------------------------------------------

There is a utility to create a dictionary the keys of which are the method names
and the values of which are the docstrings of the public methods of the classes
Screen and Turtle.

.. function:: write_docstringdict(filename="turtle_docstringdict")

   :param filename: a string, used as filename

   Create and write docstring-dictionary to a Python script with the given
   filename.  This function has to be called explicitly (it is not used by the
   turtle graphics classes).  The docstring dictionary will be written to the
   Python script :file:`{filename}.py`.  It is intended to serve as a template
   for translation of the docstrings into different languages.

If you (or your students) want to use :mod:`turtle` with online help in your
native language, you have to translate the docstrings and save the resulting
file as e.g. :file:`turtle_docstringdict_german.py`.

If you have an appropriate entry in your :file:`turtle.cfg` file this dictionary
will be read in at import time and will replace the original English docstrings.

At the time of this writing there are docstring dictionaries in German and in
Italian.  (Requests please to glingl@aon.at.)



How to configure Screen and Turtles
-----------------------------------

The built-in default configuration mimics the appearance and behaviour of the
old turtle module in order to retain best possible compatibility with it.

If you want to use a different configuration which better reflects the features
of this module or which better fits to your needs, e.g. for use in a classroom,
you can prepare a configuration file ``turtle.cfg`` which will be read at import
time and modify the configuration according to its settings.

The built in configuration would correspond to the following turtle.cfg::

   width = 0.5
   height = 0.75
   leftright = None
   topbottom = None
   canvwidth = 400
   canvheight = 300
   mode = standard
   colormode = 1.0
   delay = 10
   undobuffersize = 1000
   shape = classic
   pencolor = black
   fillcolor = black
   resizemode = noresize
   visible = True
   language = english
   exampleturtle = turtle
   examplescreen = screen
   title = Python Turtle Graphics
   using_IDLE = False

Short explanation of selected entries:

- The first four lines correspond to the arguments of the :meth:`Screen.setup`
  method.
- Line 5 and 6 correspond to the arguments of the method
  :meth:`Screen.screensize`.
- *shape* can be any of the built-in shapes, e.g: arrow, turtle, etc.  For more
  info try ``help(shape)``.
- If you want to use no fillcolor (i.e. make the turtle transparent), you have
  to write ``fillcolor = ""`` (but all nonempty strings must not have quotes in
  the cfg-file).
- If you want to reflect the turtle its state, you have to use ``resizemode =
  auto``.
- If you set e.g. ``language = italian`` the docstringdict
  :file:`turtle_docstringdict_italian.py` will be loaded at import time (if
  present on the import path, e.g. in the same directory as :mod:`turtle`.
- The entries *exampleturtle* and *examplescreen* define the names of these
  objects as they occur in the docstrings.  The transformation of
  method-docstrings to function-docstrings will delete these names from the
  docstrings.
- *using_IDLE*: Set this to ``True`` if you regularly work with IDLE and its -n
  switch ("no subprocess").  This will prevent :func:`exitonclick` to enter the
  mainloop.

There can be a :file:`turtle.cfg` file in the directory where :mod:`turtle` is
stored and an additional one in the current working directory.  The latter will
override the settings of the first one.

The :file:`Demo/turtle` directory contains a :file:`turtle.cfg` file.  You can
study it as an example and see its effects when running the demos (preferably
not from within the demo-viewer).


Demo scripts
============

There is a set of demo scripts in the turtledemo directory located in the
:file:`Demo/turtle` directory in the source distribution.

It contains:

- a set of 15 demo scripts demonstrating differet features of the new module
  :mod:`turtle`
- a demo viewer :file:`turtleDemo.py` which can be used to view the sourcecode
  of the scripts and run them at the same time. 14 of the examples can be
  accessed via the Examples menu; all of them can also be run standalone.
- The example :file:`turtledemo_two_canvases.py` demonstrates the simultaneous
  use of two canvases with the turtle module.  Therefore it only can be run
  standalone.
- There is a :file:`turtle.cfg` file in this directory, which also serves as an
  example for how to write and use such files.

The demoscripts are:

+----------------+------------------------------+-----------------------+
| Name           | Description                  | Features              |
+----------------+------------------------------+-----------------------+
| bytedesign     | complex classical            | :func:`tracer`, delay,|
|                | turtlegraphics pattern       | :func:`update`        |
+----------------+------------------------------+-----------------------+
| chaos          | graphs verhust dynamics,     | world coordinates     |
|                | proves that you must not     |                       |
|                | trust computers' computations|                       |
+----------------+------------------------------+-----------------------+
| clock          | analog clock showing time    | turtles as clock's    |
|                | of your computer             | hands, ontimer        |
+----------------+------------------------------+-----------------------+
| colormixer     | experiment with r, g, b      | :func:`ondrag`        |
+----------------+------------------------------+-----------------------+
| fractalcurves  | Hilbert & Koch curves        | recursion             |
+----------------+------------------------------+-----------------------+
| lindenmayer    | ethnomathematics             | L-System              |
|                | (indian kolams)              |                       |
+----------------+------------------------------+-----------------------+
| minimal_hanoi  | Towers of Hanoi              | Rectangular Turtles   |
|                |                              | as Hanoi discs        |
|                |                              | (shape, shapesize)    |
+----------------+------------------------------+-----------------------+
| paint          | super minimalistic           | :func:`onclick`       |
|                | drawing program              |                       |
+----------------+------------------------------+-----------------------+
| peace          | elementary                   | turtle: appearance    |
|                |                              | and animation         |
+----------------+------------------------------+-----------------------+
| penrose        | aperiodic tiling with        | :func:`stamp`         |
|                | kites and darts              |                       |
+----------------+------------------------------+-----------------------+
| planet_and_moon| simulation of                | compound shapes,      |
|                | gravitational system         | :class:`Vec2D`        |
+----------------+------------------------------+-----------------------+
| tree           | a (graphical) breadth        | :func:`clone`         |
|                | first tree (using generators)|                       |
+----------------+------------------------------+-----------------------+
| wikipedia      | a pattern from the wikipedia | :func:`clone`,        |
|                | article on turtle graphics   | :func:`undo`          |
+----------------+------------------------------+-----------------------+
| yingyang       | another elementary example   | :func:`circle`        |
+----------------+------------------------------+-----------------------+

Have fun!


Changes since Python 2.6
========================

- The methods :meth:`Turtle.tracer`, :meth:`Turtle.window_width` and
  :meth:`Turtle.window_height` have been eliminated.
  Methods with these names and functionality are now available only
  as methods of :class:`Screen`. The functions derived from these remain
  available. (In fact already in Python 2.6 these methods were merely
  duplications of the corresponding
  :class:`TurtleScreen`/:class:`Screen`-methods.)

- The method :meth:`Turtle.fill` has been eliminated.
  The behaviour of :meth:`begin_fill` and :meth:`end_fill`
  have changed slightly: now  every filling-process must be completed with an
  ``end_fill()`` call.

- A method :meth:`Turtle.filling` has been added. It returns a boolean
  value: ``True`` if a filling process is under way, ``False`` otherwise.
  This behaviour corresponds to a ``fill()`` call without arguments in
  Python 2.6.