File: axis.py

package info (click to toggle)
pyx3 0.17-2
  • links: PTS, VCS
  • area: main
  • in suites: forky, sid
  • size: 5,328 kB
  • sloc: python: 27,656; makefile: 225; ansic: 130; sh: 17
file content (717 lines) | stat: -rw-r--r-- 28,491 bytes parent folder | download
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
# -*- encoding: utf-8 -*-
#
#
# Copyright (C) 2002-2012, 2022, 2025 Jörg Lehmann <joerg@pyx-project.org>
# Copyright (C) 2003-2011 Michael Schindler <m-schindler@users.sourceforge.net>
# Copyright (C) 2002-2012, 2022, 2024, 2025 André Wobst <wobsta@pyx-project.org>
#
# This file is part of PyX (https://pyx-project.org/).
#
# PyX is free software; you can redistribute it and/or modify
# it under the terms of the GNU General Public License as published by
# the Free Software Foundation; either version 2 of the License, or
# (at your option) any later version.
#
# PyX is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
# GNU General Public License for more details.
#
# You should have received a copy of the GNU General Public License
# along with PyX; if not, write to the Free Software
# Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA  02110-1301, USA

import functools, logging, math
from pyx import attr, unit, text, utils
from pyx.graph.axis import painter, parter, positioner, rater, texter, tick

logger = logging.getLogger("pyx")
class _marker: pass


class axisdata:
    """axis data storage class

    Instances of this class are used to store axis data local to the
    graph. It will always contain an axispos instance provided by the
    graph during initialization."""

    def __init__(self, **kwargs):
        for key, value in list(kwargs.items()):
            setattr(self, key, value)


class _axis:
    """axis"""

    def createlinked(self, data, positioner, graphtextengine, errorname, linkpainter):
        canvas = painter.axiscanvas(self.painter, graphtextengine)
        if linkpainter is not None:
            linkpainter.paint(canvas, data, self, positioner)
        return canvas


class NoValidPartitionError(RuntimeError):

    pass


class _regularaxis(_axis):
    """base implementation a regular axis

    Regular axis have a continuous variable like linear axes,
    logarithmic axes, time axes etc."""

    def __init__(self, min=None, max=None, reverse=0, divisor=None, title=None,
                       painter=painter.regular(), texter=texter.default(), linkpainter=painter.linked(),
                       maxworse=2, manualticks=[], fallbackrange=None, **kwargs):

        split_kwargs, rest_kwargs = utils.kwsplit(kwargs, ["painter", "texter", "linkpainter"])
        if rest_kwargs:
            raise ValueError("Invalid split kwargs: %s" % rest_kwargs)

        if "painter" in split_kwargs: painter = painter(**split_kwargs["painter"])
        if "texter" in split_kwargs: texter = texter(**split_kwargs["texter"])
        if "linkpainter" in split_kwargs: linkpainter = linkpainter(**split_kwargs["linkpainter"])

        if min is not None and max is not None and min > max:
            min, max, reverse = max, min, not reverse
        self.min = min
        self.max = max
        self.reverse = reverse
        self.divisor = divisor
        self.title = title
        self.painter = painter
        self.texter = texter
        self.linkpainter = linkpainter
        self.maxworse = maxworse
        self.manualticks = self.checkfraclist(manualticks)
        self.fallbackrange = fallbackrange

    def createdata(self, errorname):
        return axisdata(min=self.min, max=self.max)

    zero = 0.0

    def adjustaxis(self, data, columndata, graphtextengine, errorname):
        if self.min is None or self.max is None:
            for value in columndata:
                try:
                    value = value + self.zero
                except Exception:
                    pass
                else:
                    if self.min is None and (data.min is None or value < data.min):
                        data.min = value
                    if self.max is None and (data.max is None or value > data.max):
                        data.max = value

    def checkfraclist(self, fracs):
        "orders a list of fracs, equal entries are not allowed"
        if not len(fracs): return []
        sorted = list(fracs)
        sorted.sort()
        last = sorted[0]
        for item in sorted[1:]:
            if last == item:
                raise ValueError("duplicate entry found")
            last = item
        return sorted

    def _create(self, data, positioner, graphtextengine, parter, rater, errorname):
        errorname = " for axis %s" % errorname
        if data.min is None or data.max is None:
            raise RuntimeError("incomplete axis range%s" % errorname)
        if data.max == data.min:
            if self.fallbackrange is not None:
                try:
                    data.min, data.max = data.min - 0.5*self.fallbackrange, data.min + 0.5*self.fallbackrange
                except TypeError:
                    data.min, data.max = self.fallbackrange[0], self.fallbackrange[1]
            else:
                raise RuntimeError("zero axis range%s" % errorname)

        if self.divisor is not None:
            rational_divisor = tick.rational(self.divisor)
            convert_tick = lambda x: float(x)*self.divisor
        else:
            convert_tick = lambda x: x

        def layout(data):
            if data.ticks:
                self.adjustaxis(data, [convert_tick(data.ticks[0]), convert_tick(data.ticks[-1])], graphtextengine, errorname)
            self.texter.labels(data.ticks)
            if self.divisor:
                for t in data.ticks:
                    t *= rational_divisor
            canvas = painter.axiscanvas(self.painter, graphtextengine)
            if self.painter is not None:
                self.painter.paint(canvas, data, self, positioner)
            return canvas

        if parter is None:
            data.ticks = self.manualticks
            return layout(data)

        # a variant is a data copy with local modifications to test several partitions
        @functools.total_ordering
        class variant:
            def __init__(self, data, **kwargs):
                self.data = data
                for key, value in list(kwargs.items()):
                    setattr(self, key, value)

            def __getattr__(self, key):
                return getattr(data, key)

            def __lt__(self, other):
                # we can also sort variants by their rate
                return self.rate < other.rate

            def __eq__(self, other):
                # we can also sort variants by their rate
                return self.rate == other.rate

        # build a list of variants
        bestrate = None
        if self.divisor is not None:
            if data.min is not None:
                data_min_divided = data.min/self.divisor
            else:
                data_min_divided = None
            if data.max is not None:
                data_max_divided = data.max/self.divisor
            else:
                data_max_divided = None
            partfunctions = parter.partfunctions(data_min_divided, data_max_divided,
                                                 self.min is None, self.max is None)
        else:
            partfunctions = parter.partfunctions(data.min, data.max,
                                                 self.min is None, self.max is None)
        variants = []
        for partfunction in partfunctions:
            worse = 0
            while worse < self.maxworse:
                worse += 1
                ticks = partfunction()
                if ticks is None:
                    break
                ticks = tick.mergeticklists(self.manualticks, ticks, mergeequal=0)
                if ticks:
                    rate = rater.rateticks(self, ticks)
                    if rate is not None:
                        if self.reverse:
                            rate += rater.raterange(self.convert(data, convert_tick(ticks[0])) -
                                                    self.convert(data, convert_tick(ticks[-1])), 1)
                        else:
                            rate += rater.raterange(self.convert(data, convert_tick(ticks[-1])) -
                                                    self.convert(data, convert_tick(ticks[0])), 1)
                        if bestrate is None or rate < bestrate:
                            bestrate = rate
                            worse = 0
                        variants.append(variant(data, rate=rate, ticks=ticks))

        if not variants:
            raise RuntimeError("no axis partitioning found%s" % errorname)

        if len(variants) == 1 or self.painter is None:
            # When the painter is None, we could sort the variants here by their rating.
            # However, we didn't did this so far and there is no real reason to change that.
            data.ticks = variants[0].ticks
            return layout(data)

        # build the layout for best variants
        for variant in variants:
            variant.storedcanvas = None
        variants.sort()
        while not variants[0].storedcanvas:
            variants[0].storedcanvas = layout(variants[0])
            ratelayout = rater.ratelayout(variants[0].storedcanvas)
            if ratelayout is None:
                del variants[0]
                if not variants:
                    raise NoValidPartitionError("no valid axis partitioning found%s" % errorname)
            else:
                variants[0].rate += ratelayout
            variants.sort()
        self.adjustaxis(data, variants[0].ticks, graphtextengine, errorname)
        data.ticks = variants[0].ticks
        return variants[0].storedcanvas


class linear(_regularaxis):
    """linear axis"""

    def __init__(self, parter=parter.autolinear(), rater=rater.linear(), density=None, **kwargs):
        split_kwargs, rest_kwargs = utils.kwsplit(kwargs, ["parter", "rater"])

        _regularaxis.__init__(self, **rest_kwargs)

        if "parter" in split_kwargs: parter = parter(**split_kwargs["parter"])
        if "rater" in split_kwargs or density:
            rater_kwargs = split_kwargs.get("rater", {})
            if density:
                if "density" in rater_kwargs:
                    raise ValueError("duplicate density in rater and depricated setting")
                logger.warning("density should be passed to rater instead of axis")
                rater_kwargs["density"] = density
            rater = rater(**rater_kwargs)

        self.parter = parter
        self.rater = rater
        self.kwargs = kwargs

    def __call__(self, **kwargs):
        return linear(**utils.merge_members_kwargs(self, [self.kwargs, kwargs], ["parter", "rater"]))

    def convert(self, data, value):
        """axis coordinates -> graph coordinates"""
        if self.reverse:
            return (data.max - float(value)) / (data.max - data.min)
        else:
            return (float(value) - data.min) / (data.max - data.min)

    def create(self, data, positioner, graphtextengine, errorname):
        return _regularaxis._create(self, data, positioner, graphtextengine, self.parter, self.rater, errorname)

lin = linear


class logarithmic(_regularaxis):
    """logarithmic axis"""

    def __init__(self, parter=parter.autologarithmic(), rater=rater.logarithmic(),
                       linearparter=parter.autolinear(extendtick=None), density=None, **kwargs):
        split_kwargs, rest_kwargs = utils.kwsplit(kwargs, ["parter", "rater", "linearparter"])

        _regularaxis.__init__(self, **rest_kwargs)

        if "parter" in split_kwargs: parter = parter(**split_kwargs["parter"])
        if "rater" in split_kwargs or density:
            rater_kwargs = split_kwargs.get("rater", {})
            if density:
                if "density" in rater_kwargs:
                    raise ValueError("duplicate density in rater and depricated setting")
                logger.warning("density should be passed to rater instead of axis")
                rater_kwargs["density"] = density
            rater = rater(**rater_kwargs)
        if "linearparter" in split_kwargs: linearparter = linearparter(**split_kwargs["linearparter"])

        self.parter = parter
        self.rater = rater
        self.linearparter = linearparter
        self.kwargs = kwargs

    def __call__(self, **kwargs):
        return linear(**utils.merge_members_kwargs(self, [self.kwargs, kwargs], ["parter", "rater", "linearparter"]))

    def convert(self, data, value):
        """axis coordinates -> graph coordinates"""
        # TODO: store log(data.min) and log(data.max)
        if data.max < 0:
            if self.reverse:
                return (math.log(-data.max) - math.log(-float(value))) / (math.log(-data.max) - math.log(-data.min))
            else:
                return (math.log(-float(value)) - math.log(-data.min)) / (math.log(-data.max) - math.log(-data.min))
        else:
            if self.reverse:
                return (math.log(data.max) - math.log(float(value))) / (math.log(data.max) - math.log(data.min))
            else:
                return (math.log(float(value)) - math.log(data.min)) / (math.log(data.max) - math.log(data.min))

    def create(self, data, positioner, graphtextengine, errorname):
        try:
            return _regularaxis._create(self, data, positioner, graphtextengine, self.parter, self.rater, errorname)
        except NoValidPartitionError:
            if self.linearparter:
                logger.warning("no valid logarithmic partitioning found for axis %s, switch to linear partitioning" % errorname)
                return _regularaxis._create(self, data, positioner, graphtextengine, self.linearparter, self.rater, errorname)
            raise

log = logarithmic


class subaxispositioner(positioner._positioner):
    """a subaxis positioner"""

    def __init__(self, basepositioner, subaxis):
        self.basepositioner = basepositioner
        self.vmin = subaxis.vmin
        self.vmax = subaxis.vmax
        self.vminover = subaxis.vminover
        self.vmaxover = subaxis.vmaxover

    def vbasepath(self, v1=None, v2=None):
        if v1 is not None:
            v1 = self.vmin+v1*(self.vmax-self.vmin)
        else:
            v1 = self.vminover
        if v2 is not None:
            v2 = self.vmin+v2*(self.vmax-self.vmin)
        else:
            v2 = self.vmaxover
        return self.basepositioner.vbasepath(v1, v2)

    def vgridpath(self, v):
        return self.basepositioner.vgridpath(self.vmin+v*(self.vmax-self.vmin))

    def vtickpoint_pt(self, v, axis=None):
        return self.basepositioner.vtickpoint_pt(self.vmin+v*(self.vmax-self.vmin))

    def vtickdirection(self, v, axis=None):
        return self.basepositioner.vtickdirection(self.vmin+v*(self.vmax-self.vmin))


class bar(_axis):

    def __init__(self, subaxes=None, defaultsubaxis=linear(painter=None, linkpainter=None, parter=None),
                       dist=0.5, firstdist=None, lastdist=None, title=None, reverse=0, epsilon=1e-10,
                       painter=painter.bar(), linkpainter=painter.linkedbar(), **kwargs):
        split_kwargs, rest_kwargs = utils.kwsplit(kwargs, ["defaultsubaxis", "painter", "linkpainter"], allow_only_split=True)

        if "defaultsubaxis" in split_kwargs: defaultsubaxis = linear(**split_kwargs["defaultsubaxis"])
        if "painter" in split_kwargs: painter = painter.bar(**split_kwargs["painter"])
        if "linkpainter" in split_kwargs: linkpainter = painter.linkedbar(**split_kwargs["linkpainter"])

        self.subaxes = subaxes
        self.defaultsubaxis = defaultsubaxis
        self.dist = dist
        if firstdist is not None:
            self.firstdist = firstdist
        else:
            self.firstdist = 0.5 * dist
        if lastdist is not None:
            self.lastdist = lastdist
        else:
            self.lastdist = 0.5 * dist
        self.title = title
        self.reverse = reverse
        self.painter = painter
        self.linkpainter = linkpainter
        self.epsilon = epsilon
        self.kwargs = kwargs

    def __call__(self, **kwargs):
        return bar(**utils.merge_members_kwargs(self, [self.kwargs, kwargs], ["defaultsubaxis", "painter", "linkpainter"]))

    def createdata(self, errorname):
        data = axisdata(size=self.firstdist+self.lastdist-self.dist, subaxes={}, names=[])
        return data

    def addsubaxis(self, data, name, subaxis, graphtextengine, errorname):
        subaxis = anchoredaxis(subaxis, graphtextengine, "%s, subaxis %s" % (errorname, name))
        subaxis.setcreatecall(lambda: None)
        subaxis.sized = hasattr(subaxis.data, "size")
        if subaxis.sized:
            data.size += subaxis.data.size
        else:
            data.size += 1
        data.size += self.dist
        data.subaxes[name] = subaxis
        if self.reverse:
            data.names.insert(0, name)
        else:
            data.names.append(name)

    def adjustaxis(self, data, columndata, graphtextengine, errorname):
        for value in columndata:

            # some checks and error messages
            try:
                len(value)
            except Exception:
                raise ValueError("tuple expected by bar axis '%s'" % errorname)
            try:
                value + ""
            except Exception:
                pass
            else:
                raise ValueError("tuple expected by bar axis '%s'" % errorname)
            assert len(value) == 2, "tuple of size two expected by bar axis '%s'" % errorname

            name = value[0]
            if name is not None and name not in data.names:
                if self.subaxes:
                    if self.subaxes[name] is not None:
                        self.addsubaxis(data, name, self.subaxes[name], graphtextengine, errorname)
                else:
                    self.addsubaxis(data, name, self.defaultsubaxis, graphtextengine, errorname)
        for name in data.names:
            subaxis = data.subaxes[name]
            if subaxis.sized:
                data.size -= subaxis.data.size
            subaxis.axis.adjustaxis(subaxis.data,
                                    [value[1] for value in columndata if value[0] == name],
                                    graphtextengine,
                                    "%s, subaxis %s" % (errorname, name))
            if subaxis.sized:
                data.size += subaxis.data.size

    def convert(self, data, value):
        if value[0] is None:
            raise ValueError
        subaxis = data.subaxes[value[0]]
        subvalue = subaxis.convert(value[1])
        if (self.epsilon is not None) and not (-self.epsilon < subvalue < 1+self.epsilon):
            raise ValueError
        return subaxis.vmin + subvalue * (subaxis.vmax - subaxis.vmin)

    def create(self, data, positioner, graphtextengine, errorname):
        canvas = painter.axiscanvas(self.painter, graphtextengine)
        v = 0
        position = self.firstdist
        for name in data.names:
            subaxis = data.subaxes[name]
            subaxis.vmin = position / float(data.size)
            if subaxis.sized:
                position += subaxis.data.size
            else:
                position += 1
            subaxis.vmax = position / float(data.size)
            position += 0.5*self.dist
            subaxis.vminover = v
            if name == data.names[-1]:
                subaxis.vmaxover = 1
            else:
                subaxis.vmaxover = position / float(data.size)
            subaxis.setpositioner(subaxispositioner(positioner, subaxis))
            subaxis.create()
            for layer, subcanvas in list(subaxis.canvas.layers.items()):
                canvas.layer(layer).insert(subcanvas)
            assert len(subaxis.canvas.layers) == len(subaxis.canvas.items)
            if canvas.extent_pt < subaxis.canvas.extent_pt:
                canvas.extent_pt = subaxis.canvas.extent_pt
            position += 0.5*self.dist
            v = subaxis.vmaxover
        if self.painter is not None:
            self.painter.paint(canvas, data, self, positioner)
        return canvas

    def createlinked(self, data, positioner, graphtextengine, errorname, linkpainter):
        canvas = painter.axiscanvas(self.painter, graphtextengine)
        for name in data.names:
            subaxis = data.subaxes[name]
            subaxis = linkedaxis(subaxis, name)
            subaxis.setpositioner(subaxispositioner(positioner, data.subaxes[name]))
            subaxis.create()
            for layer, subcanvas in list(subaxis.canvas.layers.items()):
                canvas.layer(layer).insert(subcanvas)
            assert len(subaxis.canvas.layers) == len(subaxis.canvas.items)
            if canvas.extent_pt < subaxis.canvas.extent_pt:
                canvas.extent_pt = subaxis.canvas.extent_pt
        if linkpainter is not None:
            linkpainter.paint(canvas, data, self, positioner)
        return canvas


class nestedbar(bar):

    def __init__(self, defaultsubaxis=bar(dist=0, painter=None, linkpainter=None), **kwargs):
        bar.__init__(self, defaultsubaxis=defaultsubaxis, **kwargs)


class split(bar):

    def __init__(self, defaultsubaxis=linear(),
                       firstdist=0, lastdist=0,
                       painter=painter.split(), linkpainter=painter.linkedsplit(), **kwargs):
        bar.__init__(self, defaultsubaxis=defaultsubaxis,
                           firstdist=firstdist, lastdist=lastdist,
                           painter=painter, linkpainter=linkpainter, **kwargs)


class sizedlinear(linear):

    def __init__(self, size=1, **kwargs):
        linear.__init__(self, **kwargs)
        self.size = size
        self.kwargs = kwargs

    def __call__(self, **kwargs):
        return sizedlinear(**utils.merge_members_kwargs(self, [self.kwargs, kwargs], ["size"]))

    def createdata(self, errorname):
        data = linear.createdata(self, errorname)
        data.size = self.size
        return data

sizedlin = sizedlinear


class autosizedlinear(linear):

    def __init__(self, parter=parter.autolinear(extendtick=None), **kwargs):
        split_kwargs, rest_kwargs = utils.kwsplit(kwargs, ["parter"])
        if "parter" in split_kwargs: parter = parter.autolinear(**split_kwargs["parter"])

        linear.__init__(self, parter=parter, **rest_kwargs)

        self.kwargs = kwargs

    def __call__(self, **kwargs):
        return autosizedlinear(**utils.merge_members_kwargs(self, [self.kwargs, kwargs], ["parter"]))

    def createdata(self, errorname):
        data = linear.createdata(self, errorname)
        try:
            data.size = data.max - data.min
        except Exception:
            data.size = 0
        return data

    def adjustaxis(self, data, columndata, graphtextengine, errorname):
        linear.adjustaxis(self, data, columndata, graphtextengine, errorname)
        try:
            data.size = data.max - data.min
        except Exception:
            data.size = 0

    def create(self, data, positioner, graphtextengine, errorname):
        min = data.min
        max = data.max
        canvas = linear.create(self, data, positioner, graphtextengine, errorname)
        if min != data.min or max != data.max:
            raise RuntimeError("range change during axis creation of autosized linear axis")
        return canvas

autosizedlin = autosizedlinear


class anchoredaxis:

    def __init__(self, axis, graphtextengine, errorname):
        assert not isinstance(axis, anchoredaxis), errorname
        self.axis = axis
        self.errorname = errorname
        self.graphtextengine = graphtextengine
        self.data = axis.createdata(self.errorname)
        self.canvas = None
        self.positioner = None

    def setcreatecall(self, function, *args, **kwargs):
        self._createfunction = function
        self._createargs = args
        self._createkwargs = kwargs

    def docreate(self):
        if not self.canvas:
            self._createfunction(*self._createargs, **self._createkwargs)

    def setpositioner(self, positioner):
        assert positioner is not None, self.errorname
        assert self.positioner is None, self.errorname
        self.positioner = positioner

    def convert(self, x):
        self.docreate()
        return self.axis.convert(self.data, x)

    def adjustaxis(self, columndata):
        if self.canvas is None:
            self.axis.adjustaxis(self.data, columndata, self.graphtextengine, self.errorname)
        else:
            logger.warning("ignore axis range adjustment of already created axis '%s'"  % self.errorname)

    def vbasepath(self, v1=None, v2=None):
        return self.positioner.vbasepath(v1=v1, v2=v2)

    def basepath(self, x1=None, x2=None):
        self.docreate()
        if x1 is None:
            if x2 is None:
                return self.positioner.vbasepath()
            else:
                return self.positioner.vbasepath(v2=self.axis.convert(self.data, x2))
        else:
            if x2 is None:
                return self.positioner.vbasepath(v1=self.axis.convert(self.data, x1))
            else:
                return self.positioner.vbasepath(v1=self.axis.convert(self.data, x1),
                                                 v2=self.axis.convert(self.data, x2))

    def vgridpath(self, v):
        return self.positioner.vgridpath(v)

    def gridpath(self, x):
        self.docreate()
        return self.positioner.vgridpath(self.axis.convert(self.data, x))

    def vtickpoint_pt(self, v):
        return self.positioner.vtickpoint_pt(v)

    def vtickpoint(self, v):
        return self.positioner.vtickpoint_pt(v) * unit.t_pt

    def tickpoint_pt(self, x):
        self.docreate()
        return self.positioner.vtickpoint_pt(self.axis.convert(self.data, x))

    def tickpoint(self, x):
        self.docreate()
        x_pt, y_pt = self.positioner.vtickpoint_pt(self.axis.convert(self.data, x))
        return  x_pt * unit.t_pt, y_pt * unit.t_pt

    def vtickdirection(self, v):
        return self.positioner.vtickdirection(v)

    def tickdirection(self, x):
        self.docreate()
        return self.positioner.vtickdirection(self.axis.convert(self.data, x))

    def create(self):
        if self.canvas is None:
            assert self.positioner is not None, self.errorname
            self.canvas = self.axis.create(self.data, self.positioner, self.graphtextengine, self.errorname)
        return self.canvas


class linkedaxis(anchoredaxis):

    def __init__(self, linkedaxis=None, errorname="manual-linked", painter=_marker, **kwargs):
        split_kwargs, rest_kwargs = utils.kwsplit(kwargs, ["painter"])
        if rest_kwargs:
            raise ValueError("Unknown kwargs '%s' to linkedaxis" % rest_kwargs)
        if "painter" in split_kwargs: painter = painter(**split_kwargs["painter"])
        self.painter = painter
        self.linkedto = None
        self.errorname = errorname
        self.canvas = None
        self.positioner = None
        if linkedaxis:
            self.setlinkedaxis(linkedaxis)
        self.kwargs = kwargs

    def __call__(self, **kwargs):
        return linkedaxis(linkedaxis=self.linkedto, errorname=self.errorname, **utils.merge_members_kwargs(self, [self.kwargs, kwargs], ["painter"]))

    def setlinkedaxis(self, linkedaxis):
        assert isinstance(linkedaxis, anchoredaxis), self.errorname
        self.linkedto = linkedaxis
        self.axis = linkedaxis.axis
        self.graphtextengine = self.linkedto.graphtextengine
        self.errorname = "%s (linked to %s)" % (self.errorname, linkedaxis.errorname)
        self.data = linkedaxis.data
        if self.painter is _marker:
            self.painter = linkedaxis.axis.linkpainter

    def create(self):
        assert self.linkedto is not None, self.errorname
        assert self.positioner is not None, self.errorname
        if self.canvas is None:
            self.linkedto.docreate()
            self.canvas = self.axis.createlinked(self.data, self.positioner, self.graphtextengine, self.errorname, self.painter)
        return self.canvas


class anchoredpathaxis(anchoredaxis):
    """an anchored axis along a path"""

    def __init__(self, path, axis, **kwargs):
        anchoredaxis.__init__(self, axis, text.defaulttextengine, "pathaxis")
        self.setpositioner(positioner.pathpositioner(path, **kwargs))
        self.create()

def pathaxis(*args, **kwargs):
    """creates an axiscanvas for an axis along a path"""
    return anchoredpathaxis(*args, **kwargs).canvas