tikra 1.2.0

TikZ figures to SVG and PNG with no TeX install; math labels by mathra.
Documentation
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
//! The keys of `/pgfplots`, defined the way `pgfplots.code.tex` defines them: styles are copied
//! from it, values are `.initial` keys that the axis reads when it is drawn, and the keys whose
//! code does work (`compat`, `axis x line`, `/pgf/number format/…`, the plot handlers) are native.
//! The defaults are those of `compat=default`, as the pgfplots manual compiles.

use crate::keys;
use crate::tex::{self, Meaning, Token};
use crate::Error;

use super::super::{options::KeyFn, tikra_tokens, Engine, NATIVE_KEY_BASE};
use super::number::{SciStyle, Style};

/// pgfplots' own definitions (`\pgfkeys{…}` blocks of `pgfplots.code.tex`, trimmed to the keys
/// that tikra draws, plus the values the native code reads).
const DEFINITIONS: &str = r"
\def\pgfplotscreateplotcyclelist#1#2{\expandafter\def\csname pgfk@/pgfplots/@cycle lists/#1\endcsname{#2}}
\let\pgfcreateplotcyclelist\pgfplotscreateplotcyclelist
\def\pgfkeyslet#1#2{\expandafter\let\csname pgfk@#1\endcsname#2}
\def\axisdefaultwidth{240pt}\def\axisdefaultheight{207pt}
\def\pgfplotsmarklistfill{.!80!black}
\def\numplots{0}\def\numplotsofactualtype{1}\def\plotnumofactualtype{0}\def\plotnum{0}
\def\pgfplotbarwidth{10pt}\def\pgfplotbarshift{0pt}
\def\pgfplotscolormaplastindexof#1{\csname pgfpl@cm@#1@last\endcsname}
\pgfplotscreateplotcyclelist{color}{%
	blue,every mark/.append style={fill=blue!80!black},mark=*\\%
	red,every mark/.append style={fill=red!80!black},mark=square*\\%
	brown!60!black,every mark/.append style={fill=brown!80!black},mark=otimes*\\%
	black,mark=star\\%
	blue,every mark/.append style={fill=blue!80!black},mark=diamond*\\%
	red,densely dashed,every mark/.append style={solid,fill=red!80!black},mark=*\\%
	brown!60!black,densely dashed,every mark/.append style={solid,fill=brown!80!black},mark=square*\\%
	black,densely dashed,every mark/.append style={solid,fill=gray},mark=otimes*\\%
	blue,densely dashed,mark=star,every mark/.append style=solid\\%
	red,densely dashed,every mark/.append style={solid,fill=red!80!black},mark=diamond*\\%
}
\pgfplotscreateplotcyclelist{black white}{%
	every mark/.append style={fill=gray},mark=*\\%
	every mark/.append style={fill=gray},mark=square*\\%
	every mark/.append style={fill=gray},mark=otimes*\\%
	mark=star\\%
	every mark/.append style={fill=gray},mark=diamond*\\%
	densely dashed,every mark/.append style={solid,fill=gray},mark=*\\%
	densely dashed,every mark/.append style={solid,fill=gray},mark=square*\\%
	densely dashed,every mark/.append style={solid,fill=gray},mark=otimes*\\%
	densely dashed,every mark/.append style={solid},mark=star\\%
	densely dashed,every mark/.append style={solid,fill=gray},mark=diamond*\\%
}
\pgfplotscreateplotcyclelist{linestyles}{solid,dashed,dotted}
\pgfplotscreateplotcyclelist{linestyles*}{solid,dashed,dotted,dashdotted,dashdotdotted}
\pgfplotscreateplotcyclelist{color list}{red,blue,black,yellow,brown,teal,orange,violet,cyan,green!70!black,magenta,gray}
\pgfplotscreateplotcyclelist{mark list}{%
	every mark/.append style={solid,fill=\pgfplotsmarklistfill},mark=*\\%
	every mark/.append style={solid,fill=\pgfplotsmarklistfill},mark=square*\\%
	every mark/.append style={solid,fill=\pgfplotsmarklistfill},mark=triangle*\\%
	every mark/.append style={solid},mark=star\\%
	every mark/.append style={solid,fill=\pgfplotsmarklistfill},mark=diamond*\\%
	every mark/.append style={solid,fill=\pgfplotsmarklistfill!40},mark=otimes*\\%
	every mark/.append style={solid},mark=|\\%
	every mark/.append style={solid,fill=\pgfplotsmarklistfill},mark=pentagon*\\%
	every mark/.append style={solid},mark=text,text mark=p\\%
	every mark/.append style={solid},mark=text,text mark=a\\%
}
\pgfplotscreateplotcyclelist{mark list*}{%
	every mark/.append style={solid,fill=\pgfplotsmarklistfill},mark=*\\%
	every mark/.append style={solid,fill=\pgfplotsmarklistfill},mark=square*\\%
	every mark/.append style={solid,fill=\pgfplotsmarklistfill},mark=triangle*\\%
	every mark/.append style={solid,fill=\pgfplotsmarklistfill},mark=halfsquare*\\%
	every mark/.append style={solid,fill=\pgfplotsmarklistfill},mark=pentagon*\\%
	every mark/.append style={solid,fill=\pgfplotsmarklistfill},mark=halfcircle*\\%
	every mark/.append style={solid,fill=\pgfplotsmarklistfill,rotate=180},mark=halfdiamond*\\%
	every mark/.append style={solid,fill=\pgfplotsmarklistfill!40},mark=otimes*\\%
	every mark/.append style={solid,fill=\pgfplotsmarklistfill},mark=diamond*\\%
	every mark/.append style={solid,fill=\pgfplotsmarklistfill},mark=halfsquare right*\\%
	every mark/.append style={solid,fill=\pgfplotsmarklistfill},mark=halfsquare left*\\%
}
\pgfplotscreateplotcyclelist{exotic}{%
	teal,every mark/.append style={fill=teal!80!black},mark=*\\%
	orange,every mark/.append style={fill=orange!80!black},mark=square*\\%
	cyan!60!black,every mark/.append style={fill=cyan!80!black},mark=otimes*\\%
	red!70!white,mark=star\\%
	lime!80!black,every mark/.append style={fill=lime},mark=diamond*\\%
	red,densely dashed,every mark/.append style={solid,fill=red!80!black},mark=*\\%
	yellow!60!black,densely dashed,every mark/.append style={solid,fill=yellow!80!black},mark=square*\\%
	black,every mark/.append style={solid,fill=gray},mark=otimes*\\%
	blue,densely dashed,mark=star,every mark/.append style=solid\\%
	red,densely dashed,every mark/.append style={solid,fill=red!80!black},mark=diamond*\\%
}
\pgfkeys{
	/tikz/dashdotted/.style={dash pattern=on 3pt off 2pt on \the\pgflinewidth off 2pt},
	/tikz/densely dashdotted/.style={dash pattern=on 3pt off 1pt on \the\pgflinewidth off 1pt},
	/tikz/loosely dashdotted/.style={dash pattern=on 3pt off 4pt on \the\pgflinewidth off 4pt},
	/tikz/dashdotdotted/.style={dash pattern=on 3pt off 2pt on \the\pgflinewidth off 2pt on \the\pgflinewidth off 2pt},
	/tikz/densely dashdotdotted/.style={dash pattern=on 3pt off 1pt on \the\pgflinewidth off 1pt on \the\pgflinewidth off 1pt},
	/tikz/loosely dashdotdotted/.style={dash pattern=on 3pt off 4pt on \the\pgflinewidth off 4pt on \the\pgflinewidth off 4pt},
	/tikz/every mark/.style={},
	/tikz/mark options/.style={/tikz/every mark/.style={#1}},
	/tikz/mark size/.initial=2pt,
	/tikz/mark repeat/.initial=1, /tikz/mark phase/.initial=1, /tikz/mark indices/.initial=,
	/tikz/text mark/.initial=p, /tikz/text mark style/.style={}, /tikz/text mark as node/.initial=false,
	/tikz/nodes/.style={/tikz/every node/.append style={#1}},
	/tikz/every cell/.style={}, /tikz/cells/.style={/tikz/every cell/.append style={#1}},
	/tikz/column sep/.initial=0pt, /tikz/row sep/.initial=0pt,
	/tikz/@plot handler/.initial=,
	/pgf/bar width/.initial=10pt, /pgf/bar shift/.initial=0pt,
	/pgf/bar interval width/.initial=1, /pgf/bar interval shift/.initial=0.5,
	/tikz/bar width/.forward to=/pgf/bar width, /tikz/bar shift/.forward to=/pgf/bar shift,
	/tikz/bar interval width/.forward to=/pgf/bar interval width,
	/tikz/bar interval shift/.forward to=/pgf/bar interval shift,
	/pgf/number format/.cd,
	/pgf/number format/fixed relative/.code={\pgfkeysalso{/pgf/number format/@fixed relative}},
	/pgfplots/.cd,
	/pgfplots/.search also={/tikz},
	/pgfplots/every axis/.style={}, /pgfplots/every axis post/.style={},
	/pgfplots/every semilogx axis/.style={}, /pgfplots/every semilogy axis/.style={},
	/pgfplots/every loglog axis/.style={}, /pgfplots/every linear axis/.style={},
	/pgfplots/every axis plot/.style={}, /pgfplots/every axis plot post/.style={},
	/pgfplots/every axis plot except legend/.style={},
	/pgfplots/axis plot except legend style/.style={/pgfplots/every axis plot except legend/.append style={#1}},
	/pgfplots/every forget plot/.style={},
	/pgfplots/forget plot style/.style={/pgfplots/every forget plot/.append style={#1}},
	/pgfplots/forget plot/.initial=false, /pgfplots/forget plot/.default=true,
	/pgfplots/no marks/.style={/pgfplots/no markers},
	/pgfplots/no markers/.style={/pgfplots/every axis plot post/.append style={mark=none}},
	/pgfplots/every axis label/.style={},
	/pgfplots/xlabel near ticks/.style={%
		/pgfplots/every axis x label/.style={at={(ticklabel cs:0.5)},anchor=near ticklabel},%
		/pgfplots/every x tick scale label/.style={at={(xticklabel cs:0.9,5pt)},anchor=near xticklabel,inner sep=0pt},
	},%
	/pgfplots/xlabel absolute/.style={%
		/pgfplots/every axis x label/.style={at={(0.5,0)},below,yshift=-15pt},%
		/pgfplots/every x tick scale label/.style={at={(1,0)},yshift=-2em,left,inner sep=0pt},
	},%
	/pgfplots/ylabel near ticks/.style={%
		/pgfplots/every axis y label/.style={at={(ticklabel cs:0.5)},rotate=90,anchor=near ticklabel},%
		/pgfplots/every y tick scale label/.style={at={(yticklabel* cs:1.03,-0.3em)},/pgfplots/near ticklabel align=outside,anchor=near yticklabel opposite,inner sep=0pt},
	},%
	/pgfplots/ylabel absolute/.style={%
		/pgfplots/every axis y label/.style={at={(0,0.5)},xshift=-35pt,rotate=90},
		/pgfplots/every y tick scale label/.style={at={(0,1)},above right,inner sep=0pt,yshift=0.3em},
	},%
	/pgfplots/every axis z label/.style={at={(ticklabel cs:0.5)},rotate=90, anchor=near ticklabel},
	/pgfplots/every z tick scale label/.style={at={(zticklabel* cs:1.2,-0.3em)},anchor=near zticklabel,inner sep=0pt},
	/pgfplots/near ticklabel align/.initial=center,
	/pgfplots/every axis title shift/.initial=6pt,
	/pgfplots/every axis title/.style={at={(0.5,1)},above,yshift=\pgfkeysvalueof{/pgfplots/every axis title shift}},
	/pgfplots/every tick/.style={very thin,gray},
	/pgfplots/every inner x axis line/.style={}, /pgfplots/every inner y axis line/.style={},
	/pgfplots/every inner z axis line/.style={}, /pgfplots/every outer x axis line/.style={},
	/pgfplots/every outer y axis line/.style={}, /pgfplots/every outer z axis line/.style={},
	/pgfplots/x axis line style/.style={/pgfplots/every outer x axis line/.append style={#1},/pgfplots/every inner x axis line/.append style={#1}},
	/pgfplots/y axis line style/.style={/pgfplots/every outer y axis line/.append style={#1},/pgfplots/every inner y axis line/.append style={#1}},
	/pgfplots/z axis line style/.style={/pgfplots/every outer z axis line/.append style={#1},/pgfplots/every inner z axis line/.append style={#1}},
	/pgfplots/outer axis line style/.style={/pgfplots/every outer x axis line/.append style={#1},/pgfplots/every outer y axis line/.append style={#1},/pgfplots/every outer z axis line/.append style={#1}},
	/pgfplots/inner axis line style/.style={/pgfplots/every inner x axis line/.append style={#1},/pgfplots/every inner y axis line/.append style={#1},/pgfplots/every inner z axis line/.append style={#1}},
	/pgfplots/axis line style/.style={/pgfplots/inner axis line style={#1},/pgfplots/outer axis line style={#1}},
	/pgfplots/separate axis lines/.initial=false, /pgfplots/separate axis lines/.default=true,
	/pgfplots/every minor tick/.style={}, /pgfplots/every major tick/.style={},
	/pgfplots/every x tick/.style={}, /pgfplots/every minor x tick/.style={}, /pgfplots/every major x tick/.style={},
	/pgfplots/every y tick/.style={}, /pgfplots/every minor y tick/.style={}, /pgfplots/every major y tick/.style={},
	/pgfplots/every z tick/.style={}, /pgfplots/every minor z tick/.style={}, /pgfplots/every major z tick/.style={},
	/pgfplots/every axis grid/.style={thin,black!25},
	/pgfplots/every minor grid/.style={}, /pgfplots/every major grid/.style={},
	/pgfplots/every axis x grid/.style={}, /pgfplots/every minor x grid/.style={}, /pgfplots/every major x grid/.style={},
	/pgfplots/every axis y grid/.style={}, /pgfplots/every minor y grid/.style={}, /pgfplots/every major y grid/.style={},
	/pgfplots/every axis z grid/.style={}, /pgfplots/every minor z grid/.style={}, /pgfplots/every major z grid/.style={},
	/pgfplots/every tick label/.style={}, /pgfplots/every x tick label/.style={},
	/pgfplots/every y tick label/.style={}, /pgfplots/every z tick label/.style={},
	/pgfplots/log identify minor tick positions/.initial=false, /pgfplots/log identify minor tick positions/.default=true,
	/pgfplots/every extra x tick/.style={/pgfplots/log identify minor tick positions=true},
	/pgfplots/every extra y tick/.style={/pgfplots/log identify minor tick positions=true},
	/pgfplots/every extra z tick/.style={/pgfplots/log identify minor tick positions=true},
	/pgfplots/xtickten/.initial=, /pgfplots/ytickten/.initial=, /pgfplots/ztickten/.initial=,
	/pgfplots/extra x tick style/.code={\pgfkeysalso{/pgfplots/every extra x tick/.append style={#1}}},
	/pgfplots/extra y tick style/.code={\pgfkeysalso{/pgfplots/every extra y tick/.append style={#1}}},
	/pgfplots/extra tick style/.code={\pgfkeysalso{/pgfplots/every extra x tick/.append style={#1},/pgfplots/every extra y tick/.append style={#1},/pgfplots/every extra z tick/.append style={#1}}},
	/pgfplots/every axis legend/.style={%
		cells={anchor=center},
		inner xsep=3pt,inner ysep=2pt,nodes={inner sep=2pt,text depth=0.15em},
		anchor=north east,%
		shape=rectangle,%
		fill=white,%
		draw=black,
		at={(0.98,0.98)},
	},
	/pgfplots/legend style/.code={\pgfkeysalso{/pgfplots/every axis legend/.append style={#1}}},
	/pgfplots/legend entries/.initial=,
	/pgfplots/legend to name/.initial=,
	/pgfplots/legend pos/.is choice,
	/pgfplots/legend pos/south west/.style={/pgfplots/legend style={at={(0.03,0.03)},anchor=south west}},
	/pgfplots/legend pos/south east/.style={/pgfplots/legend style={at={(0.97,0.03)},anchor=south east}},
	/pgfplots/legend pos/north west/.style={/pgfplots/legend style={at={(0.03,0.97)},anchor=north west}},
	/pgfplots/legend pos/north east/.style={/pgfplots/legend style={at={(0.97,0.97)},anchor=north east}},
	/pgfplots/legend pos/outer north east/.style={/pgfplots/legend style={at={(1.03,1)},anchor=north west}},
	/pgfplots/legend cell align/.is choice,
	/pgfplots/legend cell align/left/.style={/pgfplots/legend style={cells={anchor=west}}},
	/pgfplots/legend cell align/right/.style={/pgfplots/legend style={cells={anchor=east}}},
	/pgfplots/legend cell align/center/.style={/pgfplots/legend style={cells={anchor=center}}},
	/pgfplots/legend columns/.initial=1,
	/pgfplots/legend plot pos/.initial=left,
	/pgfplots/reverse legend/.initial=false, /pgfplots/reverse legend/.default=true,
	/pgfplots/transpose legend/.initial=false, /pgfplots/transpose legend/.default=true,
	/pgfplots/legend reversed/.style={/pgfplots/reverse legend=#1}, /pgfplots/legend reversed/.default=true,
	/pgfplots/legend transposed/.style={/pgfplots/transpose legend=#1}, /pgfplots/legend transposed/.default=true,
	/pgfplots/every legend image post/.style={},
	/pgfplots/legend image post style/.style={/pgfplots/every legend image post/.append style={#1}},
	/pgfplots/@legend image/.initial=line,
	/pgfplots/line legend/.code={\pgfkeyssetvalue{/pgfplots/@legend image}{line}},
	/pgfplots/area legend/.code={\pgfkeyssetvalue{/pgfplots/@legend image}{area}},
	/pgfplots/every fill between plot/.style={/pgfplots/area legend,/tikz/fill},
	/pgfplots/empty legend/.code={\pgfkeyssetvalue{/pgfplots/@legend image}{empty}},
	/pgfplots/ybar legend/.code={\pgfkeyssetvalue{/pgfplots/@legend image}{ybar}},
	/pgfplots/xbar legend/.code={\pgfkeyssetvalue{/pgfplots/@legend image}{xbar}},
	/pgfplots/single ybar legend/.code={\pgfkeyssetvalue{/pgfplots/@legend image}{single ybar}},
	/pgfplots/single xbar legend/.code={\pgfkeyssetvalue{/pgfplots/@legend image}{single xbar}},
	/pgfplots/ybar interval legend/.code={\pgfkeyssetvalue{/pgfplots/@legend image}{ybar interval}},
	/pgfplots/xbar interval legend/.code={\pgfkeyssetvalue{/pgfplots/@legend image}{xbar interval}},
	/pgfplots/legend image code/.code={\pgfkeyssetvalue{/pgfplots/@legend image}{line}},
	/pgfplots/legend image with text/.code={\pgfkeyssetvalue{/pgfplots/@legend image}{empty}},
	/pgfplots/title/.initial=, /pgfplots/xlabel/.initial=, /pgfplots/ylabel/.initial=, /pgfplots/zlabel/.initial=,
	/pgfplots/use units/.initial=true, /pgfplots/use units/.default=true,
	/pgfplots/x unit/.initial=, /pgfplots/y unit/.initial=, /pgfplots/z unit/.initial=,
	/pgfplots/x unit prefix/.initial=, /pgfplots/y unit prefix/.initial=, /pgfplots/z unit prefix/.initial=,
	/pgfplots/change x base/.initial=false, /pgfplots/change x base/.default=true,
	/pgfplots/change y base/.initial=false, /pgfplots/change y base/.default=true,
	/pgfplots/change z base/.initial=false, /pgfplots/change z base/.default=true,
	/pgfplots/@x scale label off/.initial=false, /pgfplots/@y scale label off/.initial=false, /pgfplots/@z scale label off/.initial=false,
	/pgfplots/xlabel shift/.initial=0pt, /pgfplots/ylabel shift/.initial=0pt, /pgfplots/zlabel shift/.initial=0pt,
	/pgfplots/label shift/.style={/pgfplots/xlabel shift={#1},/pgfplots/ylabel shift={#1},/pgfplots/zlabel shift={#1}},
	/pgfplots/extra description/.code=,
	/pgfplots/label style/.style={/pgfplots/every axis x label/.append style={#1},/pgfplots/every axis y label/.append style={#1},/pgfplots/every axis z label/.append style={#1}},
	/pgfplots/x label style/.code={\pgfkeysalso{/pgfplots/every axis x label/.append style={#1}}},
	/pgfplots/y label style/.code={\pgfkeysalso{/pgfplots/every axis y label/.append style={#1}}},
	/pgfplots/z label style/.code={\pgfkeysalso{/pgfplots/every axis z label/.append style={#1}}},
	/pgfplots/xlabel style/.style={/pgfplots/x label style={#1}},
	/pgfplots/ylabel style/.style={/pgfplots/y label style={#1}},
	/pgfplots/zlabel style/.style={/pgfplots/z label style={#1}},
	/pgfplots/title style/.code={\pgfkeysalso{/pgfplots/every axis title/.append style={#1}}},
	/pgfplots/tick label style/.code={\pgfkeysalso{/pgfplots/every tick label/.append style={#1}}},
	/pgfplots/ticklabel style/.style={/pgfplots/tick label style={#1}},
	/pgfplots/x tick label style/.code={\pgfkeysalso{/pgfplots/every x tick label/.append style={#1}}},
	/pgfplots/y tick label style/.code={\pgfkeysalso{/pgfplots/every y tick label/.append style={#1}}},
	/pgfplots/z tick label style/.code={\pgfkeysalso{/pgfplots/every z tick label/.append style={#1}}},
	/pgfplots/xticklabel style/.style={/pgfplots/x tick label style={#1}},
	/pgfplots/yticklabel style/.style={/pgfplots/y tick label style={#1}},
	/pgfplots/zticklabel style/.style={/pgfplots/z tick label style={#1}},
	/pgfplots/x tick scale label style/.code={\pgfkeysalso{/pgfplots/every x tick scale label/.append style={#1}}},
	/pgfplots/y tick scale label style/.code={\pgfkeysalso{/pgfplots/every y tick scale label/.append style={#1}}},
	/pgfplots/tick style/.code={\pgfkeysalso{/pgfplots/every tick/.append style={#1}}},
	/pgfplots/minor tick style/.code={\pgfkeysalso{/pgfplots/every minor tick/.append style={#1}}},
	/pgfplots/major tick style/.code={\pgfkeysalso{/pgfplots/every major tick/.append style={#1}}},
	/pgfplots/x tick style/.code={\pgfkeysalso{/pgfplots/every x tick/.append style={#1}}},
	/pgfplots/y tick style/.code={\pgfkeysalso{/pgfplots/every y tick/.append style={#1}}},
	/pgfplots/minor x tick style/.code={\pgfkeysalso{/pgfplots/every minor x tick/.append style={#1}}},
	/pgfplots/minor y tick style/.code={\pgfkeysalso{/pgfplots/every minor y tick/.append style={#1}}},
	/pgfplots/major x tick style/.code={\pgfkeysalso{/pgfplots/every major x tick/.append style={#1}}},
	/pgfplots/major y tick style/.code={\pgfkeysalso{/pgfplots/every major y tick/.append style={#1}}},
	/pgfplots/grid style/.code={\pgfkeysalso{/pgfplots/every axis grid/.append style={#1}}},
	/pgfplots/minor grid style/.code={\pgfkeysalso{/pgfplots/every minor grid/.append style={#1}}},
	/pgfplots/major grid style/.code={\pgfkeysalso{/pgfplots/every major grid/.append style={#1}}},
	/pgfplots/x grid style/.code={\pgfkeysalso{/pgfplots/every axis x grid/.append style={#1}}},
	/pgfplots/y grid style/.code={\pgfkeysalso{/pgfplots/every axis y grid/.append style={#1}}},
	/pgfplots/minor x grid style/.code={\pgfkeysalso{/pgfplots/every minor x grid/.append style={#1}}},
	/pgfplots/minor y grid style/.code={\pgfkeysalso{/pgfplots/every minor y grid/.append style={#1}}},
	/pgfplots/major x grid style/.code={\pgfkeysalso{/pgfplots/every major x grid/.append style={#1}}},
	/pgfplots/major y grid style/.code={\pgfkeysalso{/pgfplots/every major y grid/.append style={#1}}},
	/pgfplots/every error bar/.style={thin},
	/pgfplots/error bars/error bar style/.code={\pgfkeysalso{/pgfplots/every error bar/.append style={#1}}},
	/pgfplots/error bars/error mark/.initial=-,
	/pgfplots/error bars/error mark options/.initial={rotate=90},
	/pgfplots/error bars/x dir/.initial=none, /pgfplots/error bars/y dir/.initial=none,
	/pgfplots/error bars/x explicit/.code={\pgfkeyssetvalue{/pgfplots/error bars/@x mode}{explicit}},
	/pgfplots/error bars/y explicit/.code={\pgfkeyssetvalue{/pgfplots/error bars/@y mode}{explicit}},
	/pgfplots/error bars/x explicit relative/.code={\pgfkeyssetvalue{/pgfplots/error bars/@x mode}{explicit relative}},
	/pgfplots/error bars/y explicit relative/.code={\pgfkeyssetvalue{/pgfplots/error bars/@y mode}{explicit relative}},
	/pgfplots/error bars/x fixed/.code={\pgfkeyssetvalue{/pgfplots/error bars/@x mode}{fixed}\pgfkeyssetvalue{/pgfplots/error bars/@x value}{#1}},
	/pgfplots/error bars/y fixed/.code={\pgfkeyssetvalue{/pgfplots/error bars/@y mode}{fixed}\pgfkeyssetvalue{/pgfplots/error bars/@y value}{#1}},
	/pgfplots/error bars/x fixed relative/.code={\pgfkeyssetvalue{/pgfplots/error bars/@x mode}{fixed relative}\pgfkeyssetvalue{/pgfplots/error bars/@x value}{#1}},
	/pgfplots/error bars/y fixed relative/.code={\pgfkeyssetvalue{/pgfplots/error bars/@y mode}{fixed relative}\pgfkeyssetvalue{/pgfplots/error bars/@y value}{#1}},
	/pgfplots/error bars/@x mode/.initial=fixed, /pgfplots/error bars/@y mode/.initial=fixed,
	/pgfplots/error bars/@x value/.initial=0, /pgfplots/error bars/@y value/.initial=0,
	/pgfplots/error bars/.cd,
	/pgfplots/.cd,
	/pgfplots/xticklabel/.initial=, /pgfplots/yticklabel/.initial=, /pgfplots/zticklabel/.initial=,
	/pgfplots/xticklabels/.initial=, /pgfplots/yticklabels/.initial=, /pgfplots/zticklabels/.initial=,
	/pgfplots/x tick label as interval/.initial=false, /pgfplots/x tick label as interval/.default=true,
	/pgfplots/y tick label as interval/.initial=false, /pgfplots/y tick label as interval/.default=true,
	/pgfplots/extra x tick label/.initial=, /pgfplots/extra y tick label/.initial=,
	/pgfplots/extra x tick labels/.initial=, /pgfplots/extra y tick labels/.initial=,
	/pgfplots/xtick/.initial=, /pgfplots/ytick/.initial=, /pgfplots/ztick/.initial=,
	/pgfplots/extra x ticks/.initial=, /pgfplots/extra y ticks/.initial=, /pgfplots/extra z ticks/.initial=,
	/pgfplots/tick scale binop/.initial=\cdot,
	/pgfplots/scaled x ticks/.initial=true, /pgfplots/scaled y ticks/.initial=true, /pgfplots/scaled z ticks/.initial=true,
	/pgfplots/scaled ticks/.style={/pgfplots/scaled x ticks=#1,/pgfplots/scaled y ticks=#1,/pgfplots/scaled z ticks=#1},
	/pgfplots/scale ticks above exponent/.initial=3, /pgfplots/scale ticks below exponent/.initial=-1,
	/pgfplots/minor x tick num/.initial=0, /pgfplots/minor y tick num/.initial=0, /pgfplots/minor z tick num/.initial=0,
	/pgfplots/minor tick num/.style={/pgfplots/minor x tick num=#1,/pgfplots/minor y tick num=#1,/pgfplots/minor z tick num=#1},
	/pgfplots/minor xtick/.initial=, /pgfplots/minor ytick/.initial=, /pgfplots/minor ztick/.initial=,
	/pgfplots/minor tick/.style={/pgfplots/minor xtick={#1},/pgfplots/minor ytick={#1},/pgfplots/minor ztick={#1}},
	/pgfplots/minor tick length/.initial=0.1cm, /pgfplots/major tick length/.initial=0.15cm,
	/pgfplots/subtickwidth/.style={/pgfplots/minor tick length={#1}}, /pgfplots/tickwidth/.style={/pgfplots/major tick length={#1}},
	/pgfplots/xtick distance/.initial=, /pgfplots/ytick distance/.initial=, /pgfplots/ztick distance/.initial=,
	/pgfplots/max space between ticks/.initial=35, /pgfplots/try min ticks/.initial=4, /pgfplots/try min ticks log/.initial=3,
	/pgfplots/log basis x/.initial=, /pgfplots/log basis y/.initial=, /pgfplots/log basis z/.initial=,
	/pgfplots/log base x/.style={/pgfplots/log basis x={#1}}, /pgfplots/log base y/.style={/pgfplots/log basis y={#1}},
	/pgfplots/log ticks with fixed point/.code={\pgfkeyssetvalue{/pgfplots/@log fixed point}{true}},
	/pgfplots/@log fixed point/.initial=false,
	/pgfplots/xtick pos/.initial=both, /pgfplots/ytick pos/.initial=both, /pgfplots/ztick pos/.initial=both,
	/pgfplots/tickpos/.style={/pgfplots/xtick pos={#1},/pgfplots/ytick pos={#1},/pgfplots/ztick pos={#1}},
	/pgfplots/tick pos/.style={/pgfplots/tickpos={#1}},
	/pgfplots/xticklabel pos/.initial=default, /pgfplots/yticklabel pos/.initial=default, /pgfplots/zticklabel pos/.initial=default,
	/pgfplots/ticklabel pos/.style={/pgfplots/xticklabel pos={#1},/pgfplots/yticklabel pos={#1},/pgfplots/zticklabel pos={#1}},
	/pgfplots/ticklabelpos/.style={/pgfplots/ticklabel pos={#1}},
	/pgfplots/xticklabel shift/.initial=, /pgfplots/yticklabel shift/.initial=,
	/pgfplots/ticklabel shift/.style={/pgfplots/xticklabel shift={#1},/pgfplots/yticklabel shift={#1},/pgfplots/zticklabel shift={#1}},
	/pgfplots/xtick align/.initial=inside, /pgfplots/ytick align/.initial=inside, /pgfplots/ztick align/.initial=inside,
	/pgfplots/tick align/.style={/pgfplots/xtick align=#1,/pgfplots/ytick align=#1,/pgfplots/ztick align=#1},
	/pgfplots/anchor/.initial=south west,
	/pgfplots/at/.initial=,
	/pgfplots/name/.initial=,
	/pgfplots/alias/.code=,
	/pgfplots/ticks/.is choice,
	/pgfplots/ticks/none/.style={xmajorticks=false,ymajorticks=false,zmajorticks=false,xminorticks=false,yminorticks=false,zminorticks=false},
	/pgfplots/ticks/major/.style={xmajorticks=true,ymajorticks=true,zmajorticks=true,xminorticks=false,yminorticks=false,zminorticks=false},
	/pgfplots/ticks/minor/.style={xmajorticks=false,ymajorticks=false,zmajorticks=false,xminorticks=true,yminorticks=true,zminorticks=true},
	/pgfplots/ticks/both/.style={xmajorticks=true,ymajorticks=true,zmajorticks=true,xminorticks=true,yminorticks=true,zminorticks=true},
	/pgfplots/grid/.is choice, /pgfplots/grid/.default=major,
	/pgfplots/grid/none/.style={xmajorgrids=false,ymajorgrids=false,zmajorgrids=false,xminorgrids=false,yminorgrids=false,zminorgrids=false},
	/pgfplots/grid/major/.style={xmajorgrids=true,ymajorgrids=true,zmajorgrids=true,xminorgrids=false,yminorgrids=false,zminorgrids=false},
	/pgfplots/grid/minor/.style={xmajorgrids=false,ymajorgrids=false,zmajorgrids=false,xminorgrids=true,yminorgrids=true,zminorgrids=true},
	/pgfplots/grid/both/.style={xmajorgrids=true,ymajorgrids=true,zmajorgrids=true,xminorgrids=true,yminorgrids=true,zminorgrids=true},
	/pgfplots/xminorticks/.initial=true, /pgfplots/xmajorticks/.initial=true,
	/pgfplots/yminorticks/.initial=true, /pgfplots/ymajorticks/.initial=true,
	/pgfplots/zminorticks/.initial=true, /pgfplots/zmajorticks/.initial=true,
	/pgfplots/xminorgrids/.initial=false, /pgfplots/xmajorgrids/.initial=false,
	/pgfplots/yminorgrids/.initial=false, /pgfplots/ymajorgrids/.initial=false,
	/pgfplots/zminorgrids/.initial=false, /pgfplots/zmajorgrids/.initial=false,
	/pgfplots/xminorticks/.default=true, /pgfplots/xmajorticks/.default=true,
	/pgfplots/yminorticks/.default=true, /pgfplots/ymajorticks/.default=true,
	/pgfplots/zminorticks/.default=true, /pgfplots/zmajorticks/.default=true,
	/pgfplots/xminorgrids/.default=true, /pgfplots/xmajorgrids/.default=true,
	/pgfplots/yminorgrids/.default=true, /pgfplots/ymajorgrids/.default=true,
	/pgfplots/zminorgrids/.default=true, /pgfplots/zmajorgrids/.default=true,
	/pgfplots/hide x axis/.initial=false, /pgfplots/hide x axis/.default=true,
	/pgfplots/hide y axis/.initial=false, /pgfplots/hide y axis/.default=true,
	/pgfplots/hide z axis/.initial=false, /pgfplots/hide z axis/.default=true,
	/pgfplots/hide axis/.style={/pgfplots/hide x axis=#1,/pgfplots/hide y axis=#1,/pgfplots/hide z axis=#1},
	/pgfplots/hide axis/.default=true,
	/pgfplots/axis on top/.initial=false, /pgfplots/axis on top/.default=true,
	/pgfplots/clip/.initial=true, /pgfplots/clip/.default=true,
	/pgfplots/clip mode/.initial=global,
	/pgfplots/clip marker paths/.initial=false, /pgfplots/clip marker paths/.default=true,
	/pgfplots/axis background/.style={},
	/pgfplots/axis background style/.style={/pgfplots/axis background/.append style={#1}},
	/pgfplots/every non boxed x axis/.style={xtick align=center,enlarge x limits=false,x axis line style={-stealth}},
	/pgfplots/every non boxed y axis/.style={ytick align=center,enlarge y limits=false,y axis line style={-stealth}},
	/pgfplots/every non boxed z axis/.style={ztick align=center,enlarge z limits=false,z axis line style={-stealth}},
	/pgfplots/every boxed x axis/.style={}, /pgfplots/every boxed y axis/.style={}, /pgfplots/every boxed z axis/.style={},
	/pgfplots/axis x line shift/.initial=, /pgfplots/axis y line shift/.initial=, /pgfplots/axis z line shift/.initial=,
	/pgfplots/axis line shift/.style={/pgfplots/axis x line shift={#1},/pgfplots/axis y line shift={#1},/pgfplots/axis z line shift={#1}},
	/pgfplots/@x line/.initial=box, /pgfplots/@y line/.initial=box, /pgfplots/@z line/.initial=box,
	/pgfplots/axis lines/.style={axis x line=#1,axis y line=#1,axis z line=#1},
	/pgfplots/axis lines*/.style={axis x line*=#1,axis y line*=#1,axis z line*=#1},
	/pgfplots/axis x discontinuity/.initial=none, /pgfplots/axis y discontinuity/.initial=none,
	/pgfplots/scale only axis/.initial=false, /pgfplots/scale only axis/.default=true,
	/pgfplots/width/.initial=, /pgfplots/height/.initial=,
	/pgfplots/x/.initial=, /pgfplots/y/.initial=, /pgfplots/z/.initial=,
	/pgfplots/xmin/.initial=, /pgfplots/xmax/.initial=, /pgfplots/ymin/.initial=, /pgfplots/ymax/.initial=,
	/pgfplots/zmin/.initial=, /pgfplots/zmax/.initial=,
	/pgfplots/min/.style={xmin={#1},ymin={#1},zmin={#1}}, /pgfplots/max/.style={xmax={#1},ymax={#1},zmax={#1}},
	/pgfplots/xtickmin/.initial=, /pgfplots/xtickmax/.initial=, /pgfplots/ytickmin/.initial=, /pgfplots/ytickmax/.initial=,
	/pgfplots/enlarge x limits/.initial=auto, /pgfplots/enlarge x limits/.default=true,
	/pgfplots/enlarge y limits/.initial=auto, /pgfplots/enlarge y limits/.default=true,
	/pgfplots/enlarge z limits/.initial=auto, /pgfplots/enlarge z limits/.default=true,
	/pgfplots/enlargelimits/.style={/pgfplots/enlarge x limits={#1},/pgfplots/enlarge y limits={#1},/pgfplots/enlarge z limits={#1}},
	/pgfplots/enlargelimits/.default=true,
	/pgfplots/x dir/.initial=normal, /pgfplots/y dir/.initial=normal, /pgfplots/z dir/.initial=normal,
	/pgfplots/x post scale/.initial=, /pgfplots/y post scale/.initial=, /pgfplots/z post scale/.initial=,
	/pgfplots/scale/.style={/pgfplots/x post scale={#1},/pgfplots/y post scale={#1},/pgfplots/z post scale={#1}},
	/pgfplots/unit vector ratio/.initial=, /pgfplots/unit vector ratio axis/.initial=,
	/pgfplots/scale mode/.initial=auto, /pgfplots/scale uniformly strategy/.initial=auto,
	/pgfplots/unit vector ratio*/.style={/pgfplots/unit vector ratio={#1},/pgfplots/unit rescale keep size=false},
	/pgfplots/unit rescale keep size/.initial=unless limits declared, /pgfplots/unit rescale keep size/.default=true,
	/pgfplots/axis equal/.is choice, /pgfplots/axis equal/.default=true,
	/pgfplots/axis equal/true/.style={/pgfplots/unit vector ratio=1 1 1,/pgfplots/unit rescale keep size=true},
	/pgfplots/axis equal/false/.style={/pgfplots/unit vector ratio=},
	/pgfplots/axis equal image/.is choice, /pgfplots/axis equal image/.default=true,
	/pgfplots/axis equal image/true/.style={/pgfplots/unit vector ratio=1 1 1,/pgfplots/unit rescale keep size=false},
	/pgfplots/axis equal image/false/.style={/pgfplots/unit vector ratio=},
	/pgfplots/xmode/.initial=linear, /pgfplots/ymode/.initial=linear, /pgfplots/zmode/.initial=linear,
	/pgfplots/view/az/.initial=25, /pgfplots/view/el/.initial=30,
	/pgfplots/view/.style 2 args={/pgfplots/view/az={#1},/pgfplots/view/el={#2}},
	/pgfplots/view/h/.style={/pgfplots/view/az={#1}}, /pgfplots/view/v/.style={/pgfplots/view/el={#1}},
	/pgfplots/plot box ratio/.initial=1 1 1,
	/pgfplots/every 3d description/.style={%
		/pgfplots/every axis x label/.style={at={(ticklabel cs:0.5)},anchor=near ticklabel},%
		/pgfplots/every axis y label/.style={at={(ticklabel cs:0.5)},anchor=near ticklabel},%
		/pgfplots/every x tick scale label/.style={at={(xticklabel cs:0.95,5pt)},anchor=near xticklabel,inner sep=0pt},
		/pgfplots/every y tick scale label/.style={at={(yticklabel cs:0.95,5pt)},anchor=near yticklabel,inner sep=0pt},
		/pgfplots/try min ticks=3,%
	},%
	/pgfplots/every 3d view {0}{90}/.style={/pgfplots/xlabel near ticks,/pgfplots/ylabel near ticks,/pgfplots/axis on top=true},
	/pgfplots/3d box/.initial=background, /pgfplots/3d box/.default=complete,
	/pgfplots/every 3d box foreground/.style={},
	/pgfplots/3d box foreground style/.style={/pgfplots/every 3d box foreground/.append style={#1}},
	/pgfplots/cycle list name/.initial=color,
	/pgfplots/cycle multi list/.code={\expandafter\def\csname pgfk@/pgfplots/@cycle lists/@multi@\endcsname{#1}\pgfkeyssetvalue{/pgfplots/cycle list name}{@multi@}},
	/pgfplots/cycle multiindex list/.code={\expandafter\def\csname pgfk@/pgfplots/@cycle lists/@multiindex@\endcsname{#1}\pgfkeyssetvalue{/pgfplots/cycle list name}{@multiindex@}},
	/pgfplots/cycle multiindex* list/.code={\expandafter\def\csname pgfk@/pgfplots/@cycle lists/@multiindex*@\endcsname{#1}\pgfkeyssetvalue{/pgfplots/cycle list name}{@multiindex*@}},
	/pgfplots/cycle list/.code={\expandafter\def\csname pgfk@/pgfplots/@cycle lists/@internal@\endcsname{#1}\pgfkeyssetvalue{/pgfplots/cycle list name}{@internal@}},
	/pgfplots/cycle list shift/.initial=,
	/pgfplots/mark list fill/.initial=.!80!black,
	/pgfplots/bar cycle list/.style={/pgfplots/cycle list={%
		{blue,fill=blue!30!white,mark=none},%
		{red,fill=red!30!white,mark=none},%
		{brown!60!black,fill=brown!30!white,mark=none},%
		{black,fill=gray,mark=none},%
		{violet!80!black,fill=violet,mark=none},%
		{green,fill=green!80!black,mark=none}%
		}
	},
	/pgfplots/area cycle list/.style={bar cycle list},
	/pgfplots/area style/.style={area cycle list,area legend,axis on top},
	/pgfplots/domain/.initial=, /pgfplots/y domain/.initial=,
	/pgfplots/domain y/.style={/pgfplots/y domain={#1}},
	/pgfplots/samples at/.initial=, /pgfplots/samples/.initial=, /pgfplots/samples y/.initial=,
	/pgfplots/variable/.code={\pgfkeysalso{/tikz/variable={#1}}},
	/pgfplots/variable y/.initial=y,
	/pgfplots/parametric/var 1d/.initial=t,
	/pgfplots/stack plots/.initial=false, /pgfplots/stack dir/.initial=plus,
	/pgfplots/reverse stacked plots/.initial=true, /pgfplots/reverse stacked plots/.default=true,
	/pgfplots/stacked ignores zero/.initial=false, /pgfplots/stacked ignores zero/.default=true,
	/pgfplots/stack negative/.initial=on previous,
	/pgfplots/bar direction/.initial=auto,
	/pgfplots/bar width/.code={\pgfkeysalso{/pgf/bar width={#1}}},
	/pgfplots/bar shift/.code={\pgfkeysalso{/pgf/bar shift={#1}}},
	/pgfplots/bar shift auto/.style={%
		/pgf/bar shift={-0.5*(\numplotsofactualtype*\pgfplotbarwidth + (\numplotsofactualtype-1)*(#1)) + (.5+\plotnumofactualtype)*\pgfplotbarwidth + \plotnumofactualtype*(#1)},%
	},
	/pgfplots/bar shift auto/.default={2pt},
	/pgfplots/ybar/.style={bar direction=y,bar cycle list,xtick align=outside,ybar legend,/pgfplots/bar shift auto={#1},/tikz/ybar},
	/pgfplots/ybar/.default=2pt,
	/pgfplots/xbar/.style={bar direction=x,bar cycle list,ytick align=outside,/pgfplots/xbar legend,/pgfplots/set point meta if empty=x,/pgfplots/bar shift auto={#1},/tikz/xbar},
	/pgfplots/xbar/.default=2pt,
	/pgfplots/ybar interval/.style={bar direction=y,bar cycle list,x tick label as interval,xmajorgrids,xtick align=outside,xtick=data,ybar interval legend,
		bar interval width={#1/\numplotsofactualtype},bar interval shift={(\plotnumofactualtype+0.5)/\numplotsofactualtype},/tikz/ybar interval},
	/pgfplots/ybar interval/.default=1,
	/pgfplots/contour/draw color/.initial=mapped color, /pgfplots/contour/fill color/.initial=mapped color,
	/pgfplots/contour/label distance/.initial=70pt,
	/pgfplots/contour/labels/.initial=true, /pgfplots/contour/labels/.default=true,
	/pgfplots/contour/filled/.initial=false, /pgfplots/contour/filled/.default=true,
	/pgfplots/contour/number/.initial=5, /pgfplots/contour/levels/.initial=,
	/pgfplots/contour/levels from colormap/.initial=,
	/pgfplots/contour/every filled contour plot/.style={/pgfplots/area legend},
	/pgfplots/contour/every contour plot/.style={},
	/pgfplots/contour/every contour label/.style={inner sep=2pt, font=\scriptsize,
		every node/.style={mapped color!50!black, fill=white},
		/pgf/number format/relative*={\pgfplotspointmetarangeexponent}},
	/pgfplots/contour/labels over line/.style={/pgfplots/contour/every contour label/.append style={
		every node/.append style={fill=none, anchor=base, yshift=1pt}}},
	/pgfplots/contour/contour label style/.style={/pgfplots/contour/every contour label/.append style={#1}},
	/pgfplots/@contour format/.initial=standard,
	/pgfplots/contour prepared format/.code={\pgfkeyssetvalue{/pgfplots/@contour format}{#1}},
	/pgfplots/contour prepared filled/.style={/pgfplots/contour prepared={draw color=mapped color!80!black, labels=false, filled}},
	/pgfplots/@quiver/.initial=false,
	/pgfplots/quiver/u/.initial=, /pgfplots/quiver/v/.initial=, /pgfplots/quiver/w/.initial=,
	/pgfplots/quiver/scale arrows/.initial=1, /pgfplots/quiver/every arrow/.style={},
	/pgfplots/quiver/update limits/.initial=true, /pgfplots/quiver/update limits/.default=true,
	/pgfplots/quiver/arrow color/.initial=,
	/pgfplots/quiver/colored/.code={\pgfkeyssetvalue{/pgfplots/quiver/arrow color}{#1}\pgfkeysalso{/pgfplots/set point meta if empty=f(x)}},
	/pgfplots/quiver/colored/.default=mapped color,
	/pgfplots/quiver/u value/.code={\pgfkeyssetvalue{/pgfplots/quiver/u}{#1}},
	/pgfplots/quiver/v value/.code={\pgfkeyssetvalue{/pgfplots/quiver/v}{#1}},
	/pgfplots/quiver/w value/.code={\pgfkeyssetvalue{/pgfplots/quiver/w}{#1}},
	/pgfplots/quiver/before arrow/.code=, /pgfplots/quiver/after arrow/.code=,
	/pgfplots/quiver/u filter/.code=, /pgfplots/quiver/v filter/.code=, /pgfplots/quiver/w filter/.code=,
	/pgfplots/quiver/quiver legend/.style={},
	/pgfplots/@hist/.initial=false, /pgfplots/@boxplot/.initial=,
	/pgfplots/every boxplot/.style={},
	/pgfplots/boxplot/data/.initial=y, /pgfplots/boxplot/data value/.initial=, /pgfplots/boxplot/data filter/.code=,
	/pgfplots/boxplot/median/.initial=auto, /pgfplots/boxplot/lower quartile/.initial=auto,
	/pgfplots/boxplot/upper quartile/.initial=auto, /pgfplots/boxplot/lower whisker/.initial=auto,
	/pgfplots/boxplot/upper whisker/.initial=auto, /pgfplots/boxplot/average/.initial=,
	/pgfplots/boxplot/ensure mark/.initial=false, /pgfplots/boxplot/ensure mark/.default=true,
	/pgfplots/boxplot/estimator/.initial=legacy,
	/pgfplots/boxplot/lower quartile off/.initial=0.25, /pgfplots/boxplot/upper quartile off/.initial=0.75,
	/pgfplots/boxplot/whisker range/.initial=1.5,
	/pgfplots/boxplot/whisker extend/.initial=\pgfkeysvalueof{/pgfplots/boxplot/box extend}*0.8,
	/pgfplots/boxplot/box extend/.initial=0.8, /pgfplots/boxplot/draw direction/.initial=x,
	/pgfplots/boxplot/variable width/.initial=false, /pgfplots/boxplot/variable width/.default=true,
	/pgfplots/boxplot/sample size/.initial=auto, /pgfplots/boxplot/sample size min/.initial=,
	/pgfplots/boxplot/sample size max/.initial=, /pgfplots/boxplot/variable width min target/.initial=0.2,
	/pgfplots/boxplot/draw position/.initial=1+\plotnumofactualtype,
	/pgfplots/boxplot/draw relative anchor/.initial=0.5,
	/pgfplots/boxplot/every whisker/.style={}, /pgfplots/boxplot/every box/.style={},
	/pgfplots/boxplot/every median/.style={}, /pgfplots/boxplot/every average/.style={/tikz/mark=diamond*},
	/pgfplots/@boxplot macros/.code={\def\pgfplotsboxplotvalue##1{\pgfkeysvalueof{/pgfplots/boxplot/##1}}\let\boxplotvalue=\pgfplotsboxplotvalue},
	/pgfplots/@boxplot macros,
	/pgfplots/hist/data/.initial=y, /pgfplots/hist/data value/.initial=,
	/pgfplots/hist/data min/.initial=, /pgfplots/hist/data max/.initial=, /pgfplots/hist/bins/.initial=10,
	/pgfplots/hist/intervals/.initial=true, /pgfplots/hist/intervals/.default=true,
	/pgfplots/hist/cumulative/.initial=false, /pgfplots/hist/cumulative/.default=true,
	/pgfplots/hist/density/.initial=false, /pgfplots/hist/density/.default=true,
	/pgfplots/hist/handler/.style={/tikz/ybar interval},
	/pgfplots/hist/data filter/.code=,
	/pgfplots/hist/@symbolic coords/.initial=,
	/pgfplots/trim axis left/.style={/tikz/trim left={(current axis.south west)}}, /pgfplots/trim axis right/.style={/tikz/trim right={(current axis.south east)}},
	/tikz/trim axis left/.style={/pgfplots/trim axis left}, /tikz/trim axis right/.style={/pgfplots/trim axis right},
	/pgfplots/scatter/@pre marker code/.code={\def\tikra@scatter@usemapped{1}}, /pgfplots/scatter/@post marker code/.code={},
	/pgf/decoration/soft clip/.style={/pgf/decoration/name=soft clip}, /pgf/decoration/soft clip path/.initial=,
	/pgfplots/@date coordinates in/.initial=, /pgfplots/date ZERO/.initial=,
	/pgfplots/date coordinates in/.style={/pgfplots/@date coordinates in={#1},/pgfplots/#1ticklabel={\tick},/pgfplots/scaled #1 ticks=false},
	/pgfplots/hist/symbolic coords/.style={/pgfplots/hist/@symbolic coords={#1},/pgfplots/symbolic x coords={#1}},
	/pgfplots/xbar interval/.style={bar direction=x,bar cycle list,y tick label as interval,ytick=data,ymajorgrids,ytick align=outside,xbar interval legend,
		bar interval width={#1/\numplotsofactualtype},bar interval shift={(\plotnumofactualtype+0.5)/\numplotsofactualtype},/tikz/xbar interval},
	/pgfplots/xbar interval/.default=1,
	/pgfplots/bar interval width/.code={\pgfkeysalso{/pgf/bar interval width={#1}}},
	/pgfplots/bar interval shift/.code={\pgfkeysalso{/pgf/bar interval shift={#1}}},
	/pgfplots/xbar stacked/.style={bar direction=x,bar cycle list,single xbar legend,stack plots=x,stack dir=#1,/tikz/xbar},
	/pgfplots/xbar stacked/.default=plus,
	/pgfplots/ybar stacked/.style={bar direction=y,bar cycle list,single ybar legend,stack plots=y,stack dir=#1,/tikz/ybar},
	/pgfplots/ybar stacked/.default=plus,
	/pgfplots/ybar interval stacked/.style={bar direction=y,bar cycle list,single ybar legend,stack plots=y,stack dir=#1,/tikz/ybar interval},
	/pgfplots/ybar interval stacked/.default=plus,
	/pgfplots/xbar interval stacked/.style={bar direction=x,bar cycle list,single xbar legend,stack plots=x,stack dir=#1,/tikz/xbar interval},
	/pgfplots/xbar interval stacked/.default=plus,
	/pgfplots/xticklabel interval boundaries/.style={x tick label as interval,xticklabel={$\pgfmathprintnumber{\tick}$ -- $\pgfmathprintnumber{\nexttick}$}},
	/pgfplots/yticklabel interval boundaries/.style={y tick label as interval,yticklabel={$\pgfmathprintnumber{\tick}$ -- $\pgfmathprintnumber{\nexttick}$}},
	/pgfplots/unbounded coords/.initial=discard,
	/pgfplots/filter discard warning/.initial=true,
	/pgfplots/restrict x to domain/.initial=, /pgfplots/restrict y to domain/.initial=,
	/pgfplots/restrict x to domain*/.initial=, /pgfplots/restrict y to domain*/.initial=,
	/pgfplots/x filter/.code=, /pgfplots/y filter/.code=, /pgfplots/z filter/.code=, /pgfplots/pre filter/.code=, /pgfplots/filter point/.code=,
	/pgfplots/@restrict expr/.initial=, /pgfplots/@restrict expr domain/.initial=,
	/pgfplots/@visualization depends on/.initial=,
	/tikz/pos segment/.code=,
	/pgfplots/@ticklabel strut/.initial=false, /pgfplots/typeset ticklabels with strut/.style={/pgfplots/@ticklabel strut=true},
	/pgfplots/table/create col/linear regression/variance format/.initial=log,
	/pgfplots/restrict expr to domain/.code 2 args={\pgfkeyssetvalue{/pgfplots/@restrict expr}{#1}\pgfkeyssetvalue{/pgfplots/@restrict expr domain}{#2}\pgfkeysalso{/pgfplots/unbounded coords=jump}},
	/pgfplots/restrict expr to domain*/.code 2 args={\pgfkeyssetvalue{/pgfplots/@restrict expr}{#1}\pgfkeyssetvalue{/pgfplots/@restrict expr domain}{#2}},
	/pgfplots/skip coords between index/.style 2 args={/pgfplots/x filter/.append code={\ifnum\coordindex<#1 \else\ifnum\coordindex<#2 \def\pgfmathresult{}\fi\fi}},
	/pgfplots/point meta/.initial=, /pgfplots/point meta min/.initial=, /pgfplots/point meta max/.initial=,
	/pgfplots/every node near coord/.style={},
	/pgfplots/nodes near coords style/.style={/pgfplots/every node near coord/.append style={#1}},
	/pgfplots/node near coords style/.style={/pgfplots/every node near coord/.append style={#1}},
	/pgfplots/node near coord style/.style={/pgfplots/every node near coord/.append style={#1}},
	/pgfplots/nodes near coords align/.initial=auto,
	/pgfplots/@nodes near coords/.initial=,
	/pgfplots/nodes near coords/.code={\pgfkeyssetvalue{/pgfplots/@nodes near coords}{#1}\pgfkeysalso{/pgfplots/set point meta if empty=f(x)}},
	/pgfplots/nodes near coords/.default={\pgfmathprintnumber\pgfplotspointmeta},
	/pgfplots/nodes near coords*/.code={\pgfkeyssetvalue{/pgfplots/@nodes near coords}{#1}\pgfkeysalso{/pgfplots/set point meta if empty=f(x)}},
	/pgfplots/nodes near coords*/.default={\pgfmathprintnumber\pgfplotspointmeta},
	/pgfplots/nodes near coords bar offset/.initial=0.5,
	/pgfplots/execute at begin axis/.initial=, /pgfplots/execute at end axis/.initial=,
	/pgfplots/execute at begin plot/.initial=, /pgfplots/execute at end plot/.initial=,
	/pgfplots/execute at begin plot visualization/.initial=, /pgfplots/execute at end plot visualization/.initial=,
	/pgfplots/before end axis/.code=, /pgfplots/after end axis/.code=,
	/pgfplots/trig format plots/.initial=default,
	/pgfplots/set layers/.code=, /pgfplots/on layer/.initial=, /pgfplots/mark layer/.initial=,
	/pgfplots/cell picture/.code=, /pgfplots/lua backend/.code=, /pgfplots/lua debug/.code=,
	/pgfplots/disabledatascaling/.code={\pgfkeyssetvalue{/pgfplots/@disabledatascaling}{true}}, /pgfplots/@disabledatascaling/.initial=false, /pgfplots/data cs/.initial=cart,
	/pgfplots/colorbar/.initial=false, /pgfplots/colorbar/.default=true,
	/pgfplots/colormap name/.initial=hot,
	/pgfplots/legend image post style/.style={/pgfplots/every legend image post/.append style={#1}},
	/pgfplots/every axis plot no 0/.style={},
	/pgfplots/table/x/.initial=, /pgfplots/table/y/.initial=, /pgfplots/table/z/.initial=,
	/pgfplots/table/x index/.initial=, /pgfplots/table/y index/.initial=, /pgfplots/table/z index/.initial=,
	/pgfplots/table/x expr/.initial=, /pgfplots/table/y expr/.initial=, /pgfplots/table/z expr/.initial=,
	/pgfplots/table/meta/.initial=, /pgfplots/table/meta index/.initial=, /pgfplots/table/meta expr/.initial=,
	/pgfplots/table/x error/.initial=, /pgfplots/table/y error/.initial=,
	/pgfplots/table/x error index/.initial=, /pgfplots/table/y error index/.initial=,
	/pgfplots/table/x error plus/.initial=, /pgfplots/table/y error plus/.initial=,
	/pgfplots/table/x error minus/.initial=, /pgfplots/table/y error minus/.initial=,
	/pgfplots/table/y error plus index/.initial=, /pgfplots/table/y error minus index/.initial=,
	/pgfplots/table/col sep/.initial=space, /pgfplots/table/row sep/.initial=newline,
	/pgfplots/table/header/.initial=true, /pgfplots/table/skip first n/.initial=0,
	/pgfplots/table/format/.initial=auto, /pgfplots/table/ignore chars/.initial=,
	/pgfplots/table/comment chars/.initial=,
	/pgfplots/table/@search path/.initial=., /pgfplots/table/search path/.code={\pgfkeyssetvalue{/pgfplots/table/@search path}{#1}},
	/pgfplots/table/trim cells/.initial=false,
	/pgfplots/table/x error expr/.initial=, /pgfplots/table/y error expr/.initial=,
	/pgfplots/table/x error plus expr/.initial=, /pgfplots/table/y error plus expr/.initial=,
	/pgfplots/table/x error minus expr/.initial=, /pgfplots/table/y error minus expr/.initial=,
	/pgfplots/table/columns/.initial=,
	/pgfplots/small/.style={width=6.5cm,height=,tick label style={font=\footnotesize},label style={font=\small},max space between ticks=25},
	/pgfplots/footnotesize/.style={width=5cm,height=,legend style={font=\footnotesize},tick label style={font=\footnotesize},label style={font=\small},title style={font=\small},every axis title shift=0pt,max space between ticks=15,every mark/.append style={mark size=8},major tick length=0.1cm,minor tick length=0.066cm},
	/pgfplots/tiny/.style={width=4cm,height=,legend style={font=\tiny},tick label style={font=\tiny},label style={font=\tiny},title style={font=\footnotesize},every axis title shift=0pt,max space between ticks=12,every mark/.append style={mark size=6},major tick length=0.1cm,minor tick length=0.066cm,every legend image post/.append style={scale=0.8}},
	/pgfplots/normalsize/.style={/pgfplots/width=240pt,/pgfplots/height=207pt,/pgfplots/max space between ticks=35},
	/pgfplots/compat/.initial=default,
	/pgfplots/@compat/.initial=0,
	/pgfplots/xlabel absolute, /pgfplots/ylabel absolute,
	/pgfplots/group/horizontal sep/.initial=1cm, /pgfplots/group/vertical sep/.initial=1cm,
	/pgfplots/group/columns/.initial=1, /pgfplots/group/rows/.initial=1,
	/pgfplots/group/every plot/.style={}, /pgfplots/group/group name/.initial=group,
	/pgfplots/group/shared labels/.initial=false, /pgfplots/group/shared labels/.default=true,
	/pgfplots/group/xticklabels at/.initial=all, /pgfplots/group/yticklabels at/.initial=all,
	/pgfplots/group/xlabels at/.initial=all, /pgfplots/group/ylabels at/.initial=all,
	/pgfplots/group/x descriptions at/.code={\pgfkeyssetvalue{/pgfplots/group/xlabels at}{#1}\pgfkeyssetvalue{/pgfplots/group/xticklabels at}{#1}},
	/pgfplots/group/y descriptions at/.code={\pgfkeyssetvalue{/pgfplots/group/ylabels at}{#1}\pgfkeyssetvalue{/pgfplots/group/yticklabels at}{#1}},
	/pgfplots/group/empty plot/.style={/pgfplots/hide axis=true},
	/pgfplots/@empty xticklabels/.initial=false, /pgfplots/@empty yticklabels/.initial=false,
	/pgfplots/@empty zticklabels/.initial=false,
	/pgfplots/colormap/.code 2 args={\expandafter\def\csname pgfk@/pgfplots/@colormaps/#1\endcsname{#2}\pgfkeyssetvalue{/pgfplots/colormap name}{#1}\pgfkeysalso{/pgfplots/@colormap defined={#1}}},
	/pgfplots/colormap access/.initial=map,
	/pgfplots/colormap/hot/.style={/pgfplots/colormap={hot}{color(0cm)=(blue); color(1cm)=(yellow); color(2cm)=(orange); color(3cm)=(red)}},
	/pgfplots/colormap/viridis/.style={/pgfplots/colormap={viridis}{rgb=(0.267,0.00487,0.32942) rgb=(0.28192,0.08966,0.41241) rgb=(0.28026,0.1657,0.4765) rgb=(0.26366,0.23763,0.51877) rgb=(0.23744,0.3052,0.54192) rgb=(0.20862,0.36775,0.55267) rgb=(0.18225,0.42618,0.55711) rgb=(0.1592,0.48224,0.55807) rgb=(0.13777,0.53749,0.5549) rgb=(0.12115,0.59274,0.54465) rgb=(0.12808,0.64775,0.5235) rgb=(0.18065,0.7014,0.48819) rgb=(0.27415,0.75198,0.4366) rgb=(0.39517,0.79747,0.36775) rgb=(0.53561,0.83578,0.2819) rgb=(0.68895,0.86545,0.18272) rgb=(0.84557,0.88733,0.0997) rgb=(0.99324,0.90616,0.14394)}},
	/pgfplots/colormap/plasma/.style={/pgfplots/colormap={plasma}{rgb=(0.050383, 0.029803, 0.527975) rgb=(0.171574, 0.019706, 0.580806) rgb=(0.261183, 0.013308, 0.617911) rgb=(0.35015, 0.004382, 0.646298) rgb=(0.429719, 0.000831, 0.659425) rgb=(0.512206, 0.018833, 0.655209) rgb=(0.584391, 0.068579, 0.632812) rgb=(0.65558, 0.129725, 0.592317) rgb=(0.714883, 0.187299, 0.546338) rgb=(0.771958, 0.249237, 0.494813) rgb=(0.819651, 0.306812, 0.448306) rgb=(0.866078, 0.36966, 0.400126) rgb=(0.904601, 0.429797, 0.356329) rgb=(0.940313, 0.497642, 0.309197) rgb=(0.966798, 0.564396, 0.265118) rgb=(0.986345, 0.640969, 0.217948) rgb=(0.994324, 0.716681, 0.177208) rgb=(0.989587, 0.803205, 0.146529) rgb=(0.970533, 0.887896, 0.145919) rgb=(0.940015, 0.975158, 0.131326)}},
	/pgfplots/colormap/hot2/.style={/pgfplots/colormap={hot2}{[1cm]rgb255(0cm)=(0,0,0) rgb255(3cm)=(255,0,0) rgb255(6cm)=(255,255,0) rgb255(8cm)=(255,255,255)}},
	/pgfplots/colormap/bluered/.style={/pgfplots/colormap={bluered}{rgb255(0cm)=(0,0,180); rgb255(1cm)=(0,255,255); rgb255(2cm)=(100,255,0); rgb255(3cm)=(255,255,0); rgb255(4cm)=(255,0,0); rgb255(5cm)=(128,0,0)}},
	/pgfplots/colormap/cool/.style={/pgfplots/colormap={cool}{rgb255(0cm)=(255,255,255); rgb255(1cm)=(0,128,255); rgb255(2cm)=(255,0,255)}},
	/pgfplots/colormap/greenyellow/.style={/pgfplots/colormap={greenyellow}{rgb255(0cm)=(0,128,0); rgb255(1cm)=(255,255,0)}},
	/pgfplots/colormap/redyellow/.style={/pgfplots/colormap={redyellow}{rgb255(0cm)=(255,0,0); rgb255(1cm)=(255,255,0)}},
	/pgfplots/colormap/blackwhite/.style={/pgfplots/colormap={blackwhite}{gray(0cm)=(0); gray(1cm)=(1)}},
	/pgfplots/colormap/violet/.style={/pgfplots/colormap={violet}{rgb255=(25,25,122) color=(white) rgb255=(238,140,238)}},
	/pgfplots/colormap/jet/.style={/pgfplots/colormap={jet}{rgb255(0cm)=(0,0,128) rgb255(1cm)=(0,0,255) rgb255(3cm)=(0,255,255) rgb255(5cm)=(255,255,0) rgb255(7cm)=(255,0,0) rgb255(8cm)=(128,0,0)}},
	/pgfplots/colormap/viridis, /pgfplots/colormap/hot,
	/pgfplots/@mesh/.initial=, /pgfplots/@patch/.initial=false,
	/pgfplots/every mesh/.style={}, /pgfplots/every patch/.style={miter limit=1},
	/pgfplots/mesh legend/.code={\pgfkeyssetvalue{/pgfplots/@legend image}{line}},
	/pgfplots/shader/.initial=faceted, /pgfplots/faceted color/.initial=mapped color!80!black,
	/pgfplots/z buffer/.initial=default,
	/pgfplots/mesh input/.initial=lattice, /pgfplots/patch type/.initial=,
	/pgfplots/patch refines/.initial=0, /pgfplots/vertex count/.initial=, /pgfplots/patch table/.initial=, /pgfplots/patch table with point meta/.initial=,
	/pgfplots/patch table with individual point meta/.initial=, /pgfplots/patch to triangles/.initial=false, /pgfplots/patch to triangles/.default=true,
	/pgfplots/patch type sampling/.initial=false, /pgfplots/patch type sampling/.default=true,
	/pgfplots/mesh/rows/.initial=, /pgfplots/mesh/cols/.initial=,
	/pgfplots/mesh/ordering/.initial=x varies, /pgfplots/mesh/color input/.initial=colormap,
	/pgfplots/mesh/check/.initial=error,
	/pgfplots/mesh/interior colormap name/.initial=, /pgfplots/mesh/interior colormap thresh/.initial=0,
	/pgfplots/mesh/interior colormap/.code 2 args={\expandafter\def\csname pgfk@/pgfplots/@colormaps/#1\endcsname{#2}\pgfkeyssetvalue{/pgfplots/mesh/interior colormap name}{#1}},
	/pgfplots/late options/.initial=,
	/pgfplots/symbolic x coords/.initial=, /pgfplots/symbolic y coords/.initial=, /pgfplots/symbolic z coords/.initial=,
	/pgfplots/@axis type/.initial=cart, /pgfplots/data cs/.initial=cart,
	/pgfplots/every polar axis/.style={grid=major, xtick pos=right, ytick pos=right,
		every axis title shift=1.2\baselineskip, legend style={anchor=center}, /pgfplots/polar labels},
	/pgfplots/polar labels/.style={
		every axis x label/.style={at={(rel axis cs:0,0.5)}, anchor=north},
		every axis y label/.style={at={(0.2,0.85)}, anchor=center},
	},
	/pgfplots/polar labels style/.style={/pgfplots/polar labels/.append style={#1}},
	/pgfplots/xticklabel in circle/.style={xtick align=inside, xticklabel style={rotate=90, anchor=south west}},
	% ternary axes: limits and labels relative to the ranges (in percent) unless turned off
	/pgfplots/ternary limits relative/.initial=true, /pgfplots/ternary limits relative/.default=true,
	/pgfplots/ternary relative limits/.style={/pgfplots/ternary limits relative={#1}},
	/pgfplots/ternary start x/.initial=, /pgfplots/ternary start y/.initial=, /pgfplots/ternary start z/.initial=,
	/pgfplots/every ternary axis/.style={
		grid=major, /pgfplots/tick align=outside, xticklabel style={anchor=west},
		/pgfplots/every 3d description/.style={},
		every axis title shift=15pt,
		every axis x label/.style={anchor=near ticklabel, at={(ticklabel cs:0.5)}},
		every axis y label/.style={anchor=near ticklabel, at={(ticklabel cs:0.5)}},
		every axis z label/.style={anchor=near ticklabel, at={(ticklabel cs:0.5)}},
		every x tick scale label/.style={inner sep=0pt, anchor=near xticklabel, at={(xticklabel cs:0.95,5pt)}},
		every y tick scale label/.style={inner sep=0pt, anchor=near yticklabel, at={(yticklabel cs:0.95,5pt)}},
		every z tick scale label/.style={inner sep=0pt, anchor=near yticklabel, at={(yticklabel cs:0.95,5pt)}},
		every axis legend/.style={shape=rectangle, draw=black, fill=white, anchor=north west, at={(1.03,1.03)},
			cells={anchor=center}, inner xsep=3pt, inner ysep=2pt, nodes={inner sep=2pt, text depth=0.15em}},
	},
	% smith charts: where grid lines stop, the input's plane, the ring at the center
	/pgfplots/xgrid each nth passes y/.initial=, /pgfplots/xgrid each nth passes y start/.initial=0,
	/pgfplots/ygrid each nth passes x/.initial=, /pgfplots/ygrid each nth passes x start/.initial=0,
	/pgfplots/xgrid stop at y/.initial=, /pgfplots/ygrid stop at x/.initial=,
	/pgfplots/smithchart mirrored/.initial=false, /pgfplots/smithchart mirrored/.default=true,
	/pgfplots/is smithchart cs/.initial=false, /pgfplots/is smithchart cs/.default=true,
	/pgfplots/show origin/.initial=false, /pgfplots/show origin/.default=true,
	/pgfplots/every smithchart axis/.style={
		xmin=0, xmax=16000, ymin=-16000, ymax=16000, grid=both, scaled ticks=false,
		xtick align=center, ytick align=center, major tick style={draw=black},
		legend style={anchor=center}, every axis title shift=1.2\baselineskip,
	},
	% the ticks by the chart's size: few below 14cm, many below 20cm, dense beyond
	/pgfplots/default smithchart xtick/.style={}, /pgfplots/default smithchart ytick/.style={},
	/pgfplots/default smithchart xytick/.style={},
	/pgfplots/few smithchart ticks*/.style={
		default smithchart xtick/.style={xtick={0.2,0.5,1,2,5}},
		default smithchart ytick/.style={ytick={0,0.2,0.5,1,2,5,-0.2,-0.5,-1,-2,-5}},
		default smithchart xytick/.style={xgrid each nth passes y={2}, ygrid each nth passes x={2}},
	},
	/pgfplots/few smithchart ticks/.style={/pgfplots/few smithchart ticks*},
	/pgfplots/many smithchart ticks*/.style={
		default smithchart xtick/.style={xtick={0.1,0.2,0.3,0.4,0.5,1,1.5,2,3,4,5,10,20},
			minor xtick={0.6,0.7,0.8,0.9,1.1,1.2,1.3,1.4,1.6,1.7,1.8,1.9,2.2,2.4,2.6,2.8,3.2,3.4,3.6,3.8,4.5,6,7,8,9,50}},
		default smithchart ytick/.style={
			ytick={0,0.1,0.2,...,1,1.5,2,3,4,5,10,20,-0.1,-0.2,...,-1,-1.5,-2,-3,-4,-5,-10,-20},
			minor ytick={1.1,1.2,1.3,1.4,1.6,1.7,1.8,1.9,2.2,2.4,2.6,2.8,3.2,3.4,3.6,3.8,4.5,6,7,8,9,50,
				-1.1,-1.2,-1.3,-1.4,-1.6,-1.7,-1.8,-1.9,-2.2,-2.4,-2.6,-2.8,-3.2,-3.4,-3.6,-3.8,-4.5,-6,-7,-8,-9,-50}},
		default smithchart xytick/.style={xgrid each nth passes y={1,2,4,5,10,20}, ygrid each nth passes x={1,2,3,5,10:3,20:3}},
	},
	/pgfplots/many smithchart ticks/.style={many smithchart ticks*, every axis title shift=6pt, yticklabel in circle, show origin=true},
	/pgfplots/dense smithchart ticks*/.style={
		default smithchart xtick/.style={xtick={0.1,0.2,0.3,0.4,0.5,0.6,0.7,0.8,0.9,1,1.2,1.4,1.6,1.8,2,3,4,5,10,20},
			minor xtick={0.01,0.02,0.03,0.04,0.05,0.06,0.07,0.08,0.09,0.11,0.12,0.13,0.14,0.15,0.16,0.17,0.18,0.19,
				0.22,0.24,0.26,0.28,0.32,0.34,0.36,0.38,0.42,0.44,0.46,0.48,0.52,0.55,0.65,0.75,0.85,0.95,
				1.1,1.3,1.5,1.7,1.9,2.2,2.4,2.6,2.8,3.2,3.4,3.6,3.8,4.5,6,7,8,9,50}},
		default smithchart ytick/.style={
			ytick={0,0.1,0.2,...,1,1.2,1.4,1.6,1.8,2,3,4,5,10,20,-0.1,-0.2,...,-1,-1.2,-1.4,-1.6,-1.8,-2,-3,-4,-5,-10,-20},
			minor ytick={0.01,0.02,0.03,0.04,0.05,0.06,0.07,0.08,0.09,0.11,0.12,0.13,0.14,0.15,0.16,0.17,0.18,0.19,
				0.22,0.24,0.26,0.28,0.32,0.34,0.36,0.38,0.42,0.44,0.46,0.48,0.55,0.65,0.75,0.85,0.95,
				1.1,1.3,1.5,1.7,1.9,2.2,2.4,2.6,2.8,3.2,3.4,3.6,3.8,4.5,6,7,8,9,50,
				-0.01,-0.02,-0.03,-0.04,-0.05,-0.06,-0.07,-0.08,-0.09,-0.11,-0.12,-0.13,-0.14,-0.15,-0.16,-0.17,-0.18,-0.19,
				-0.22,-0.24,-0.26,-0.28,-0.32,-0.34,-0.36,-0.38,-0.42,-0.44,-0.46,-0.48,-0.55,-0.65,-0.75,-0.85,-0.95,
				-1.1,-1.3,-1.5,-1.7,-1.9,-2.2,-2.4,-2.6,-2.8,-3.2,-3.4,-3.6,-3.8,-4.5,-6,-7,-8,-9,-50}},
		default smithchart xytick/.style={
			xgrid each nth passes y={0.2 if < 0.2001,0.5 if < 0.50001,1 if < 1.001,2,4,5,10,20},
			ygrid each nth passes x={0.2 if < 0.2001,0.52 if < 0.52001,1 if < 1.001,2,3,5,10:3,20:3}},
	},
	/pgfplots/dense smithchart ticks/.style={yticklabel in circle, every axis title shift=6pt,
		dense smithchart ticks*, show origin=true, every major grid/.style={black!60}},
	% y tick labels along the circle, inside or around it
	/pgfplots/yticklabel in circle/.style={ytick align=inside, yticklabel style={rotate=90,
		sloped like y axis={execute for upside down={\tikzset{anchor=north east}}, reset nontranslations=false}, anchor=south west}},
	/pgfplots/yticklabel around circle/.style={ytick align=center, yticklabel style={rotate=90,
		sloped like y axis={execute for upside down={\tikzset{anchor=south west}}, reset nontranslations=false}, anchor=south east}},
	/pgfplots/yticklabel around circle*/.style={ytick align=center, yticklabel style={rotate=90,
		sloped like y axis={execute for upside down={\tikzset{anchor=north west}}, reset nontranslations=false}, anchor=north east}},
	% fill between: the styles of its segments
	/tikz/fill between/every segment/.style={}, /tikz/fill between/every last segment/.style={},
	/tikz/fill between/every odd segment/.style={}, /tikz/fill between/every even segment/.style={},
	/tikz/fill between/.search also={/pgfplots,/tikz},
	% tieline plots: each table row has a point and its tie's other end
	/pgfplots/tieline/every tieline/.style={}, /pgfplots/tieline/every curve/.style={},
	/pgfplots/tieline/tieline style/.style={/pgfplots/tieline/every tieline/.append style={#1}},
	/pgfplots/tieline/curve style/.style={/pgfplots/tieline/every curve/.append style={#1}},
	/pgfplots/tieline/each nth tie/.initial=,
	/pgfplots/table/tie end x/.initial=, /pgfplots/table/tie end y/.initial=, /pgfplots/table/tie end z/.initial=,
	/pgfplots/table/tie end x index/.initial=, /pgfplots/table/tie end y index/.initial=, /pgfplots/table/tie end z index/.initial=,
	/pgfplots/polar comb/.code={\pgfkeyssetvalue{/tikz/@plot handler}{polar comb}},
	/pgfplots/matrix plot/.style={/pgfplots/late options={/pgfplots/y dir=reverse,/pgfplots/axis on top},/pgfplots/matrix plot*},
	/pgfplots/matrix plot*/.style={/pgfplots/surf,/pgfplots/mesh input=image,/pgfplots/shader=flat corner,/pgfplots/z buffer=none},
	/pgfplots/scatter/.initial=false,
	/pgfplots/scatter src/.code={\pgfkeysalso{/pgfplots/point meta={#1}}},
	/pgfplots/scatter/use mapped color/.initial={draw=mapped color!80!black,fill=mapped color},
	/pgfplots/scatter/classes/.initial=,
	/pgfplots/only marks scatter/.style={/pgfplots/scatter,/tikz/only marks},
	/pgfplots/point meta rel/.initial=axis wide,
	/pgfplots/colorbar to name/.initial=, /pgfplots/colorbar pos*/.initial=,
	/pgfplots/parent axis width/.initial=6cm, /pgfplots/parent axis height/.initial=6cm,
	/pgfplots/@colorbar axis/.initial=false, /pgfplots/@colorbar orientation/.initial=v, /pgfplots/@colorbar sampled/.initial=,
	/pgfplots/colorbar vertical/lowlevel/.code={\pgfkeyssetvalue{/pgfplots/@colorbar orientation}{v}},
	/pgfplots/colorbar horizontal/lowlevel/.code={\pgfkeyssetvalue{/pgfplots/@colorbar orientation}{h}},
	/pgfplots/every colorbar global/.style={
		axis on top, title=, xlabel=, ylabel=, zlabel=, legend entries=, grid=none,
		enlargelimits=false, scale only axis, xtick=, xticklabel=, ytick=, yticklabel=, zmin=, zmax=,
	},
	/pgfplots/colorbar right/.style={%
		/pgfplots/colorbar=true, /pgfplots/colorbar pos*=r,
		/pgfplots/colorbar shift/.style={xshift=0.3cm},
		/pgfplots/every colorbar/.style={%
			/pgfplots/every colorbar global,
			at={(parent axis.right of north east)}, anchor=north west,
			xmin=0, xmax=1,
			ymin=\pgfkeysvalueof{/pgfplots/point meta min}, ymax=\pgfkeysvalueof{/pgfplots/point meta max},
			height=\pgfkeysvalueof{/pgfplots/parent axis height}, width=\pgfkeysvalueof{/pgfplots/colorbar/width},
			xtick=\empty, yticklabel pos=right,
			colorbar vertical/lowlevel,
		}%
	},%
	/pgfplots/colorbar left/.style={%
		/pgfplots/colorbar right, /pgfplots/colorbar pos*=l,
		/pgfplots/colorbar shift/.style={xshift=-0.3cm},
		/pgfplots/every colorbar/.append style={at={(parent axis.left of north west)}, anchor=north east, yticklabel pos=left},
	},%
	/pgfplots/colorbar horizontal/.style={%
		/pgfplots/colorbar=true, /pgfplots/colorbar pos*=b,
		/pgfplots/colorbar shift/.style={yshift=-0.3cm},
		/pgfplots/every colorbar/.style={%
			/pgfplots/every colorbar global,
			at={(parent axis.below south west)}, anchor=north west,
			ymin=0, ymax=1,
			xmin=\pgfkeysvalueof{/pgfplots/point meta min}, xmax=\pgfkeysvalueof{/pgfplots/point meta max},
			width=\pgfkeysvalueof{/pgfplots/parent axis width}, height=\pgfkeysvalueof{/pgfplots/colorbar/width},
			xticklabel pos=left, ytick=\empty,
			colorbar horizontal/lowlevel,
		}%
	},%
	/pgfplots/colorbar right,
	/pgfplots/colorbar=false,
	/pgfplots/colorbar style/.style={/pgfplots/every colorbar/.append style={#1}},
	/pgfplots/colorbar/width/.initial=0.5cm,
	/pgfplots/colorbar sampled/.code={\pgfkeysalso{/pgfplots/colorbar=true}\pgfkeyssetvalue{/pgfplots/@colorbar sampled}{#1}\pgfkeyssetvalue{/pgfplots/@colorbar line}{false}},
	/pgfplots/colorbar sampled/.default={surf,mark=none,shader=flat},
	/pgfplots/colorbar sampled line/.code={\pgfkeysalso{/pgfplots/colorbar=true}\pgfkeyssetvalue{/pgfplots/@colorbar sampled}{#1}\pgfkeyssetvalue{/pgfplots/@colorbar line}{true}},
	/pgfplots/@colorbar line/.initial=false,
	/pgfplots/colorbar sampled line/.default={scatter,only marks},
	/pgfplots/colorbar as palette/.style={/pgfplots/colorbar sampled={surf,shader=flat corner}},
	/pgfplots/colorbar as legend/.style={/pgfplots/colorbar sampled={surf,shader=flat corner}},
	/pgfplots/every colorbar sampled line/.style={help lines},
	/pgfplots/colorbar sampled line style/.style={/pgfplots/every colorbar sampled line/.append style={#1}},
	/pgfplots/colorbar source/.code=,
	/tikz/legend columns/.style={/pgfplots/legend columns={#1}},
	/tikz/legend cell align/.style={/pgfplots/legend cell align={#1}},
	/tikz/legend plot pos/.style={/pgfplots/legend plot pos={#1}},
}
";

macro_rules! keyfn {
    ($name:ident, |$e:ident, $v:ident| $body:expr) => {
        fn $name($e: &mut Engine, $v: Option<Vec<Token>>) -> Result<(), Error> {
            $body
        }
    };
}

fn text(e: &mut Engine, v: &Option<Vec<Token>>) -> Result<String, Error> {
    Ok(match v {
        Some(v) => e.tex.expand_to_string(v.clone())?.trim().to_string(),
        None => String::new(),
    })
}

/// The key's last name, for keys that share their code (`/pgfplots/axis x line`).
fn current_name(e: &Engine) -> String {
    keys::name(&e.current_key).to_string()
}

/// Sets a stored value (`\pgfkeyssetvalue`).
pub fn set(e: &mut Engine, path: &str, value: &str) {
    e.tex.define_string(&keys::macro_name(path), value, false);
}

/// A stored value as tokens, if it is not empty.
pub fn value_tokens(e: &Engine, path: &str) -> Option<Vec<Token>> {
    keys::value(&e.tex, path).filter(|v| !keys::trim(v).is_empty())
}

/// A stored value, expanded, as text (empty if unset).
pub fn value(e: &mut Engine, path: &str) -> String {
    match keys::value(&e.tex, path) {
        Some(v) => e.tex.expand_to_string(v).map(|s| s.trim().to_string()).unwrap_or_default(),
        None => String::new(),
    }
}

/// A boolean value (`true`, `false`).
pub fn flag(e: &mut Engine, path: &str) -> bool {
    value(e, path) == "true"
}

/// A numeric value, if set and valid.
pub fn number(e: &mut Engine, path: &str) -> Option<f64> {
    let s = value(e, path);
    if s.is_empty() {
        return None;
    }
    e.number(&s).ok().filter(|v| v.is_finite())
}

/// A length value in cm, if set and valid (a number without unit is in pt).
pub fn length(e: &mut Engine, path: &str) -> Option<f64> {
    let s = value(e, path);
    if s.is_empty() {
        return None;
    }
    e.length(&s).ok().filter(|v| v.is_finite())
}

/// Runs a key list under `/pgfplots`.
pub fn run(e: &mut Engine, list: &str) -> Result<(), Error> {
    let saved = e.st.key_path.clone();
    let r = e.process_keys(tikra_tokens(list), Some("/pgfplots"));
    e.st.key_path = saved;
    r
}

/// The compatibility level, as a number: 1.18 → 118, `default` → 0.
pub fn compat(e: &Engine) -> u32 {
    keys::value(&e.tex, "/pgfplots/@compat").map(|v| tex::tokens_to_string(&v)).and_then(|s| s.trim().parse().ok()).unwrap_or(0)
}

// `/pgfplots/table/.unknown`: a key of `table[…]` that is not the table's is the plot's
// (`\pgfplots@addplotimpl@table@installkeypath`), `table[point meta=…]` for one.
keyfn!(k_table_unknown, |e, v| {
    let name = match e.tex.meaning_of("pgfkeyscurrentname") {
        Meaning::Macro(m) => tex::tokens_to_string(&tex::substitute(&m.body, &[])),
        _ => String::new(),
    };
    let saved = e.st.key_path.clone();
    let r = e.invoke(&format!("/pgfplots/{name}"), v);
    e.st.key_path = saved;
    r
});

// `/pgfplots/.unknown`: a key pgfplots does not know is a TikZ key (`.search also=/tikz`).
keyfn!(k_unknown, |e, v| {
    let name = match e.tex.meaning_of("pgfkeyscurrentname") {
        Meaning::Macro(m) => tex::tokens_to_string(&tex::substitute(&m.body, &[])),
        _ => String::new(),
    };
    let saved = e.st.key_path.clone();
    let r = e.invoke(&format!("/tikz/{name}"), v);
    e.st.key_path = saved;
    r
});

// `compat=1.x`: the level, and the label placement it implies (`compat/labels`).
// `visualization depends on={expr \as \macro}`: one more, kept as a group
keyfn!(k_visualization_depends_on, |e, v| {
    let path = keys::macro_name("/pgfplots/@visualization depends on");
    let mut list = keys::value(&e.tex, "/pgfplots/@visualization depends on").unwrap_or_default();
    list.push(Token::Char('{', tex::Cat::Begin));
    list.extend(v.unwrap_or_default());
    list.push(Token::Char('}', tex::Cat::End));
    e.tex.set_meaning(&Token::cs(&path), super::super::macro_tokens(list), false);
    Ok(())
});

keyfn!(k_compat, |e, v| {
    let s = text(e, &v)?;
    let level = match s.as_str() {
        "newest" | "1.18" => 118,
        "default" | "pre 1.3" | "" => 0,
        other => {
            let mut parts = other.split('.');
            let major: u32 = parts.next().and_then(|p| p.trim().parse().ok()).unwrap_or(1);
            let minor: u32 = parts.next().and_then(|p| p.trim().parse().ok()).unwrap_or(0);
            major * 100 + minor
        }
    };
    set(e, "/pgfplots/compat", &s);
    set(e, "/pgfplots/@compat", &level.to_string());
    if level >= 103 {
        run(e, "xlabel near ticks,ylabel near ticks")?;
    } else {
        run(e, "xlabel absolute,ylabel absolute")?;
    }
    Ok(())
});

/// `axis x line*=bottom`: where the line is, and the ticks go with it.
fn line_star(e: &mut Engine, axis: char, value: &str) {
    let (line, pos) = match value {
        "box" => ("box", "both"),
        "bottom" | "left" => ("low", "left"),
        "middle" | "center" => ("center", "center"),
        "top" | "right" => ("high", "right"),
        _ => ("none", "none"),
    };
    set(e, &format!("/pgfplots/@{axis} line"), line);
    set(e, &format!("/pgfplots/{axis}tick pos"), pos);
}

keyfn!(k_line_star, |e, v| {
    let name = current_name(e);
    let axis = name.chars().nth(5).unwrap_or('x');
    let value = text(e, &v)?;
    line_star(e, axis, &value);
    Ok(())
});

// `axis x line=middle`: the line, and the styles of `compat/axis line style` for it.
keyfn!(k_line, |e, v| {
    let name = current_name(e);
    let axis = name.chars().nth(5).unwrap_or('x');
    let value = text(e, &v)?;
    line_star(e, axis, &value);
    let post18 = compat(e) >= 108;
    let other = if axis == 'x' { 'y' } else { 'x' };
    let other_line = keys::value(&e.tex, &format!("/pgfplots/@{other} line")).map(|v| tex::tokens_to_string(&v)).unwrap_or_default();
    let list = match (value.as_str(), axis) {
        ("box", _) if post18 => format!("{axis}label near ticks,every boxed {axis} axis"),
        ("box", _) => format!("every boxed {axis} axis"),
        ("none", _) => format!("hide {axis} axis"),
        ("middle" | "center", 'x') if post18 => {
            let at = if other_line == "high" { "0" } else { "1" };
            format!("every axis x label/.style={{/pgfplots/near ticklabel align=inside,at={{(ticklabel* cs:{at})}},anchor=near ticklabel opposite}},every non boxed x axis")
        }
        ("middle" | "center", 'x') => {
            if other_line == "high" {
                "every axis x label/.style={at={(current axis.left of origin)},anchor=south west},every non boxed x axis".into()
            } else {
                "every axis x label/.style={at={(current axis.right of origin)},anchor=south east},every non boxed x axis".into()
            }
        }
        ("middle" | "center", 'y') if post18 => {
            if other_line == "high" {
                "every axis y label/.style={/pgfplots/near ticklabel align=outside,at={(ticklabel* cs:0)},anchor=near ticklabel opposite},every non boxed y axis".into()
            } else {
                "every axis y label/.style={/pgfplots/near ticklabel align=inside,at={(ticklabel* cs:1)},anchor=near ticklabel opposite},every non boxed y axis".into()
            }
        }
        ("middle" | "center", 'y') => {
            if other_line == "high" {
                "every axis y label/.style={at={(current axis.below origin)},anchor=south west},every non boxed y axis".into()
            } else {
                "every axis y label/.style={at={(current axis.above origin)},anchor=north west},every non boxed y axis".into()
            }
        }
        ("top" | "right", 'x') if post18 => "every axis x label/.style={at={(ticklabel cs:0.5)},anchor=near ticklabel},every non boxed x axis".into(),
        ("top" | "right", 'x') => "every axis x label/.style={at={(0.5,1)},anchor=south,yshift=15pt},every non boxed x axis".into(),
        ("top" | "right", 'y') if post18 => "every axis y label/.style={at={(ticklabel cs:0.5)},anchor=near ticklabel,rotate=90},every non boxed y axis".into(),
        ("top" | "right", 'y') => "every axis y label/.style={at={(1,0.5)},xshift=33pt,rotate=90},every non boxed y axis".into(),
        (_, a) => format!("every non boxed {a} axis"),
    };
    run(e, &list)
});

/// The plot handlers of TikZ that pgfplots draws (`const plot`, `ybar`…): stored as a value so
/// that groups restore them.
fn handler(e: &mut Engine, name: &str) {
    set(e, "/tikz/@plot handler", name);
}

keyfn!(k_handler, |e, _v| {
    let name = current_name(e);
    // TikZ's own `plot` draws with the same handler
    e.st.plot_handler = name.clone();
    let h = match name.as_str() {
        "smooth" | "sharp plot" => "",
        "const plot" | "const plot mark left" => "const",
        "const plot mark right" => "const right",
        "const plot mark mid" => "const mid",
        "jump mark left" => "jump left",
        "jump mark right" => "jump right",
        "jump mark mid" => "jump mid",
        other => other,
    };
    handler(e, h);
    Ok(())
});

// `mesh`, `surf`, `patch`: the plot is a mesh colored by its point meta.
keyfn!(k_mesh, |e, v| {
    let name = current_name(e);
    let value = text(e, &v)?;
    if value == "false" {
        set(e, "/pgfplots/@mesh", "");
        return Ok(());
    }
    set(e, "/pgfplots/@mesh", if name == "mesh" { "m" } else { "s" });
    if name == "patch" {
        set(e, "/pgfplots/@patch", "true");
        set(e, "/pgfplots/mesh input", "patches");
    }
    run(e, "set point meta if empty=f(x),every mesh/.try,/tikz/color=mapped color")?;
    if name == "patch" {
        run(e, "every patch")?;
    }
    Ok(())
});

// `scatter`: marks colored by the colormap.
keyfn!(k_scatter, |e, v| {
    let value = text(e, &v)?;
    let on = value != "false";
    set(e, "/pgfplots/scatter", if on { "true" } else { "false" });
    if on {
        run(e, "set point meta if empty=f(x)")?;
    }
    Ok(())
});

// `color of colormap={300 of viridis}` (0 to 1000), `const color of colormap`, `index of
// colormap={4 of viridis}` (the colormap's 5th color): the current color, as
// `\pgfplots@color@of@colormap` sets it.
keyfn!(k_colormap_color, |e, v| {
    let name = current_name(e);
    let s = text(e, &v)?;
    // `\i of jet` reads `0of jet`: the first `of` after the number
    let at = s.char_indices().find(|&(i, _)| s[i..].starts_with("of") && s[..i].trim_end().chars().last().is_some_and(|c| c.is_ascii_digit() || c == '.' || c == ')'));
    let (value, map) = match at {
        Some((i, _)) => (s[..i].trim().to_string(), Some(s[i + 2..].trim().to_string())),
        None => (s.trim().to_string(), None),
    };
    let mut map_name = map.unwrap_or_else(|| keys::value(&e.tex, "/pgfplots/colormap name").map(|v| tex::tokens_to_string(&v)).unwrap_or_default());
    // `of colormap/cool`: the style defines the map
    let spec_of = |e: &Engine, n: &str| keys::value(&e.tex, &format!("/pgfplots/@colormaps/{n}")).map(|v| tex::tokens_to_string(&v)).unwrap_or_default();
    let spec = if let Some(style) = map_name.strip_prefix("colormap/").map(str::to_string) {
        e.begin_group();
        let r = run(e, &format!("/pgfplots/colormap/{style}"));
        let spec = spec_of(e, &style);
        e.end_group();
        r?;
        map_name = style;
        spec
    } else {
        spec_of(e, &map_name)
    };
    let Some(cm) = super::colormap::Colormap::parse(&spec, &e.colors) else {
        e.warn(format!("{name}: colormap '{map_name}' not defined"));
        return Ok(());
    };
    let x = e.number(&value)?;
    let c = if name.starts_with("index") {
        let k = (x.max(0.0) as usize).min(cm.stops.len() - 1);
        cm.stops[k].1
    } else if name.starts_with("const") {
        cm.at_const(x / 1000.0)
    } else {
        cm.at(x / 1000.0)
    };
    let id = format!("pgfplots@colormap@{:.0}@{:.0}@{:.0}", c.r * 1e6, c.g * 1e6, c.b * 1e6);
    e.colors.insert(id.clone(), c);
    e.process_keys(super::toks(&format!("/tikz/color={id}")), Some("/tikz"))
});

// After a colormap is defined: `\pgfplotscolormaplastindexof{name}` (the index of its last color).
keyfn!(k_colormap_defined, |e, v| {
    let name = text(e, &v)?;
    let mut spec = value(e, &format!("/pgfplots/@colormaps/{name}"));
    // `samples of colormap=(10 of viridis)`: that many colors of the other colormap, equally spaced
    if let Some(rest) = spec.trim().strip_prefix("samples of colormap") {
        let arg = rest.trim().trim_start_matches('=').trim().trim_matches(|c| matches!(c, '(' | ')' | '{' | '}'));
        if let Some((n, other)) = arg.split_once(" of ") {
            let n: usize = n.trim().parse().unwrap_or(0);
            if let Some(cm) = super::colormap::named(e, other.split(',').next().unwrap_or("").trim()).filter(|_| n >= 2) {
                let colors: Vec<String> = (0..n).map(|k| cm.at(k as f64 / (n - 1) as f64)).map(|c| format!("rgb=({},{},{})", c.r, c.g, c.b)).collect();
                spec = colors.join(" ");
                set(e, &format!("/pgfplots/@colormaps/{name}"), &spec);
            }
        }
    }
    if let Some(cm) = super::colormap::Colormap::parse(&spec, &e.colors) {
        e.tex.define_string(&format!("pgfpl@cm@{name}@last"), &(cm.stops.len() - 1).to_string(), true);
    }
    Ok(())
});

// `x SI prefix=kilo` (the units library): the prefix of the unit in the label; with `change x base`
// the tick labels in that unit too (`scaled x ticks=base 10:-3`, without a scale label).
keyfn!(k_si_prefix, |e, v| {
    let c = current_key_axis(e);
    let name = text(e, &v)?;
    let table: &[(&str, i32, &str)] = &[
        ("yocto", 24, "y"),
        ("zepto", 21, "z"),
        ("atto", 18, "a"),
        ("femto", 15, "f"),
        ("pico", 12, "p"),
        ("nano", 9, "n"),
        ("micro", 6, "\\mu"),
        ("milli", 3, "m"),
        ("centi", 2, "c"),
        ("deci", 1, "d"),
        ("deca", -1, "da"),
        ("hecto", -2, "h"),
        ("kilo", -3, "k"),
        ("mega", -6, "M"),
        ("giga", -9, "G"),
        ("tera", -12, "T"),
        ("peta", -15, "P"),
        ("exa", -18, "E"),
        ("zetta", -21, "Z"),
        ("yotta", -24, "Y"),
    ];
    let Some(&(_, exp, prefix)) = table.iter().find(|(n, _, _)| *n == name) else {
        e.warn(format!("{c} SI prefix={name} not supported: ignored"));
        return Ok(());
    };
    set(e, &format!("/pgfplots/{c} unit prefix"), prefix);
    if flag(e, &format!("/pgfplots/change {c} base")) {
        set(e, &format!("/pgfplots/scaled {c} ticks"), &format!("base 10:{exp}"));
        set(e, &format!("/pgfplots/@{c} scale label off"), "true");
    }
    Ok(())
});

/// The axis letter of the key being run (`/pgfplots/x SI prefix` → `x`).
fn current_key_axis(e: &Engine) -> char {
    current_name(e).chars().next().unwrap_or('x')
}

// `colormap/PuBu`, `colormap/RdPu-6`: the ColorBrewer colormaps (`\usepgfplotslibrary{colorbrewer}`),
// equally spaced colors.
keyfn!(k_colormap_unknown, |e, _v| {
    let name = e.tex.expand_to_string(vec![Token::cs("pgfkeyscurrentname")])?;
    let Some(colors) = crate::color::brewer::colormap(&name) else {
        e.warn(format!("option '{name}' not supported: ignored"));
        return Ok(());
    };
    let spec: Vec<String> = colors.iter().map(|c| format!("rgb=({},{},{})", c.r, c.g, c.b)).collect();
    run(e, &format!("/pgfplots/colormap={{{name}}}{{{}}}", spec.join(" ")))
});

// `contour prepared={…}`: the contour handler, its keys in /pgfplots/contour.
keyfn!(k_contour_prepared, |e, v| {
    set(e, "/tikz/@plot handler", "contour prepared");
    let saved = e.st.key_path.clone();
    let mut list = super::toks("every contour plot,");
    list.extend(v.unwrap_or_default());
    let r = e.process_keys(list, Some("/pgfplots/contour"));
    e.st.key_path = saved;
    r
});

// `contour filled={…}`: a mesh drawn in bands of the levels, its keys in /pgfplots/contour.
keyfn!(k_contour_filled, |e, v| {
    run(e, "/pgfplots/surf")?;
    set(e, "/tikz/@plot handler", "contour filled");
    let saved = e.st.key_path.clone();
    let mut list = super::toks("every filled contour plot,");
    list.extend(v.unwrap_or_default());
    let r = e.process_keys(list, Some("/pgfplots/contour"));
    e.st.key_path = saved;
    r
});

// `sloped like x axis`: the node turned to the axis' direction on paper, never upside down; it
// replaces rotations given before (`\pgfplotstransformtoaxisdirection`).
// Its options: `execute for upside down={…}` (kept for after the node's other options, as
// pgfplots runs it when the node is placed), `allow upside down`, `reset nontranslations=false`.
fn sloped_like(e: &mut Engine, a: usize, v: Option<Vec<Token>>) -> Result<(), Error> {
    let Some(f) = e.frame.clone() else { return Ok(()) };
    let (code, allow, reset) = super::smith::sloped_options(&v.unwrap_or_default());
    // the direction at the tick being labelled (a smith chart's circle), else the axis'
    let d = f.slope.get().unwrap_or_else(|| f.e[a].scale(if f.max[a] < f.min[a] { -1.0 } else { 1.0 }));
    if d.norm() < 1e-12 {
        return Ok(());
    }
    let mut d = d;
    if d.x < 0.0 {
        if let Some(code) = code {
            // `\tikzset{anchor=…}`: its keys
            let t = crate::keys::trim(&code).to_vec();
            let keys = match t.split_first() {
                Some((first, rest)) if first.is_cs("tikzset") => crate::tex::strip_outer_braces(crate::keys::trim(rest).to_vec()),
                _ => t,
            };
            f.upside_down.replace(Some(keys));
        }
        if !allow {
            d = d.scale(-1.0);
        }
    }
    let p = e.st.pending;
    let base = if reset { crate::scene::Transform { a: 1.0, b: 0.0, c: 0.0, d: 1.0, ..p } } else { p };
    e.st.pending = base.compose(&crate::scene::Transform::rotation(d.y.atan2(d.x).to_degrees()));
    Ok(())
}
keyfn!(k_sloped_x, |e, v| sloped_like(e, 0, v));
keyfn!(k_sloped_y, |e, v| sloped_like(e, 1, v));
keyfn!(k_sloped_z, |e, v| sloped_like(e, 2, v));

// `intersection segments={of=A and B, sequence=…}` (the fillbetween library)
keyfn!(k_intersection_segments, |e, v| super::fillbetween::intersection_segments(e, v));

// `tieline={…}`: the curve through the ties' ends, and the ties.
keyfn!(k_tieline, |e, v| {
    set(e, "/tikz/@plot handler", "tieline");
    let saved = e.st.key_path.clone();
    let r = e.process_keys(v.unwrap_or_default(), Some("/pgfplots/tieline"));
    e.st.key_path = saved;
    r
});

// `quiver={u=…, v=…}`: arrows from each point by (u, v, w).
keyfn!(k_quiver, |e, v| {
    set(e, "/pgfplots/@quiver", "true");
    set(e, "/tikz/@plot handler", "quiver");
    let saved = e.st.key_path.clone();
    let r = e.process_keys(v.unwrap_or_default(), Some("/pgfplots/quiver"));
    e.st.key_path = saved;
    r
});

// `hist={bins=…}`: the plot's values are counted in bins, then drawn with `hist/handler`.
keyfn!(k_hist, |e, v| {
    set(e, "/pgfplots/@hist", "true");
    let saved = e.st.key_path.clone();
    let r = e.process_keys(v.unwrap_or_default(), Some("/pgfplots/hist"));
    e.st.key_path = saved;
    r?;
    run(e, "/pgfplots/hist/handler")
});

// `boxplot={…}`, `boxplot prepared={…}`: the box plot handler, its keys in /pgfplots/boxplot.
keyfn!(k_boxplot, |e, v| {
    let name = current_name(e);
    set(e, "/pgfplots/@boxplot", if name.ends_with("prepared") { "prepared" } else { "raw" });
    set(e, "/tikz/@plot handler", "boxplot");
    run(e, "/pgfplots/every boxplot")?;
    let saved = e.st.key_path.clone();
    let r = e.process_keys(v.unwrap_or_default(), Some("/pgfplots/boxplot"));
    e.st.key_path = saved;
    r?;
    if flag(e, "/pgfplots/boxplot/ensure mark") && e.st.plot_mark.is_none() {
        run(e, "/tikz/mark=*")?;
    }
    Ok(())
});

// `group style={…}`: keys of /pgfplots/group.
keyfn!(k_group_style, |e, v| {
    let saved = e.st.key_path.clone();
    let r = e.process_keys(v.unwrap_or_default(), Some("/pgfplots/group"));
    e.st.key_path = saved;
    r
});

// `group size=2 by 3`: columns by rows.
keyfn!(k_group_size, |e, v| {
    let s = text(e, &v)?;
    let (c, r) = s.split_once("by").unwrap_or((s.as_str(), "1"));
    set(e, "/pgfplots/group/columns", c.trim());
    set(e, "/pgfplots/group/rows", r.trim());
    Ok(())
});

keyfn!(k_set_meta, |e, v| {
    if keys::value(&e.tex, "/pgfplots/point meta").is_none_or(|m| keys::trim(&m).is_empty() || tex::tokens_to_string(&m).trim() == "none") {
        let value = v.unwrap_or_default();
        e.tex.set_meaning(&Token::cs(&keys::macro_name("/pgfplots/point meta")), super::super::macro_tokens(value), false);
    }
    Ok(())
});

// ------------------------------------------------------------------ /pgf/number format

fn nf(e: &mut Engine) -> &mut super::number::NumberFormat {
    &mut e.st.number_format
}

keyfn!(k_nf, |e, v| {
    let name = current_name(e);
    let value = text(e, &v)?;
    let on = |s: &str| !(s == "false");
    let f = nf(e);
    match name.as_str() {
        "fixed" => f.style = Style::Fixed,
        "frac" => f.style = Style::Frac,
        "sci" => f.style = Style::Sci,
        "std" => {
            f.style = match value.split_once(':') {
                Some((a, b)) => Style::Std { lower: a.trim().parse().ok(), upper: b.trim().parse().unwrap_or(4) },
                None if value.is_empty() => Style::Std { lower: None, upper: 4 },
                None => Style::Std { lower: value.trim().parse().ok(), upper: 4 },
            }
        }
        "int detect" => f.style = Style::IntDetect,
        "int trunc" => f.style = Style::IntTrunc,
        "relative" | "relative*" => f.style = Style::Relative(value.trim().parse().unwrap_or(0)),
        "@fixed relative" => f.style = Style::FixedRelative,
        "precision" => f.precision = value.trim().parse::<f64>().map_or(2, |p| p.max(0.0) as usize),
        "sci precision" => f.sci_precision = value.trim().parse().ok(),
        "fixed zerofill" => f.fixed_zerofill = on(&value),
        "sci zerofill" => f.sci_zerofill = on(&value),
        "zerofill" => {
            f.fixed_zerofill = on(&value);
            f.sci_zerofill = on(&value);
        }
        "set thousands separator" | "1000 sep" => f.thousands_sep = value,
        "set decimal separator" | "dec sep" => f.dec_sep = value,
        "use comma" => {
            f.dec_sep = "{,}".into();
            f.thousands_sep = ".".into();
        }
        "use period" => {
            f.dec_sep = ".".into();
            f.thousands_sep = "{,}".into();
        }
        "min exponent for 1000 sep" => f.min_exponent_1000 = value.trim().parse().unwrap_or(0),
        "showpos" | "print sign" => f.showpos = on(&value),
        "skip 0." => f.skip_zero = on(&value),
        "sci 10^e" | "sci 10e" => f.sci_style = SciStyle::TenE,
        "sci e" => f.sci_style = SciStyle::LowerE,
        "sci E" => f.sci_style = SciStyle::UpperE,
        "sci subscript" => f.sci_style = SciStyle::Subscript,
        "sci superscript" => f.sci_style = SciStyle::Superscript,
        "retain unit mantissa" => f.unit_mantissa = on(&value),
        _ => {}
    }
    Ok(())
});

const NATIVE: &[(&str, KeyFn)] = &[
    ("/pgfplots/.unknown", k_unknown),
    ("/pgfplots/table/.unknown", k_table_unknown),
    ("/pgfplots/compat", k_compat),
    ("/pgfplots/visualization depends on", k_visualization_depends_on),
    ("/pgfplots/mesh", k_mesh),
    ("/pgfplots/surf", k_mesh),
    ("/pgfplots/patch", k_mesh),
    ("/pgfplots/scatter", k_scatter),
    ("/pgfplots/set point meta if empty", k_set_meta),
    ("/pgfplots/axis x line", k_line),
    ("/pgfplots/axis y line", k_line),
    ("/pgfplots/axis z line", k_line),
    ("/pgfplots/axis x line*", k_line_star),
    ("/pgfplots/axis y line*", k_line_star),
    ("/pgfplots/axis z line*", k_line_star),
    ("/pgfplots/group style", k_group_style),
    ("/pgfplots/hist", k_hist),
    ("/pgfplots/quiver", k_quiver),
    ("/pgfplots/tieline", k_tieline),
    ("/tikz/intersection segments", k_intersection_segments),
    ("/tikz/sloped like x axis", k_sloped_x),
    ("/tikz/sloped like y axis", k_sloped_y),
    ("/tikz/sloped like z axis", k_sloped_z),
    ("/pgfplots/contour prepared", k_contour_prepared),
    ("/pgfplots/contour filled", k_contour_filled),
    ("/pgfplots/boxplot", k_boxplot),
    ("/pgfplots/boxplot prepared", k_boxplot),
    ("/pgfplots/colormap/.unknown", k_colormap_unknown),
    ("/pgfplots/x SI prefix", k_si_prefix),
    ("/pgfplots/y SI prefix", k_si_prefix),
    ("/pgfplots/z SI prefix", k_si_prefix),
    ("/pgfplots/@colormap defined", k_colormap_defined),
    ("/pgfplots/color of colormap", k_colormap_color),
    ("/pgfplots/const color of colormap", k_colormap_color),
    ("/pgfplots/index of colormap", k_colormap_color),
    ("/tikz/color of colormap", k_colormap_color),
    ("/tikz/const color of colormap", k_colormap_color),
    ("/tikz/index of colormap", k_colormap_color),
    ("/pgfplots/group/group size", k_group_size),
    ("/tikz/smooth", k_handler),
    ("/tikz/sharp plot", k_handler),
    ("/tikz/const plot", k_handler),
    ("/tikz/const plot mark left", k_handler),
    ("/tikz/const plot mark right", k_handler),
    ("/tikz/const plot mark mid", k_handler),
    ("/tikz/jump mark left", k_handler),
    ("/tikz/jump mark right", k_handler),
    ("/tikz/jump mark mid", k_handler),
    ("/tikz/ycomb", k_handler),
    ("/tikz/xcomb", k_handler),
    ("/tikz/ybar", k_handler),
    ("/tikz/xbar", k_handler),
    ("/tikz/ybar interval", k_handler),
    ("/tikz/xbar interval", k_handler),
    ("/tikz/polar comb", k_handler),
];

const NUMBER_FORMAT: &[&str] = &[
    "frac",
    "fixed",
    "sci",
    "std",
    "int detect",
    "int trunc",
    "relative",
    "relative*",
    "@fixed relative",
    "precision",
    "sci precision",
    "fixed zerofill",
    "sci zerofill",
    "zerofill",
    "set thousands separator",
    "1000 sep",
    "set decimal separator",
    "dec sep",
    "use comma",
    "use period",
    "min exponent for 1000 sep",
    "showpos",
    "print sign",
    "skip 0.",
    "sci 10^e",
    "sci 10e",
    "sci e",
    "sci E",
    "sci subscript",
    "sci superscript",
    "retain unit mantissa",
];

fn native(e: &mut Engine, path: &str, f: KeyFn) {
    let id = NATIVE_KEY_BASE + e.key_fns.len() as u16;
    e.key_fns.push(f);
    e.tex.define(&keys::macro_name(&format!("{path}/.@cmd")), Meaning::Native(id));
}

/// Defines the pgfplots keys (after TikZ's).
pub fn define(e: &mut Engine) {
    // what the colormap gives each point; set while a plot is drawn
    e.colors.insert("mapped color".into(), crate::color::Color::BLACK);
    for (path, f) in NATIVE {
        native(e, path, *f);
    }
    for name in NUMBER_FORMAT {
        native(e, &format!("/pgf/number format/{name}"), k_nf);
    }
    for (k, v) in [
        ("fixed zerofill", "true"),
        ("sci zerofill", "true"),
        ("zerofill", "true"),
        ("showpos", "true"),
        ("print sign", "true"),
        ("skip 0.", "true"),
        ("retain unit mantissa", "true"),
    ] {
        e.tex.set_meaning(&Token::cs(&keys::macro_name(&format!("/pgf/number format/{k}/.@def"))), super::super::macro_from(v), false);
    }
    let saved = e.st.key_path.clone();
    e.st.key_path = "/pgfplots".into();
    let mut lexer = crate::tex::Tex::new_lexer();
    lexer.push_text(DEFINITIONS);
    let mut tokens = Vec::new();
    while let Some(t) = lexer.get_token() {
        tokens.push(t);
    }
    if let Err(err) = e.run_tokens(tokens) {
        e.warn(format!("internal: pgfplots definitions failed: {err}"));
    }
    e.tex.warnings.clear();
    e.st.key_path = saved;
}