axis_artist.py 41.1 KB
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
"""
axis_artist.py module provides axis-related artists. They are

* axis line
* tick lines
* tick labels
* axis label
* grid lines

The main artist classes are `AxisArtist` and `GridlinesCollection`. While
`GridlinesCollection` is responsible for drawing grid lines, `AxisArtist`
is responsible for all other artists. `AxisArtist` has attributes that are
associated with each type of artists:

* line: axis line
* major_ticks: major tick lines
* major_ticklabels: major tick labels
* minor_ticks: minor tick lines
* minor_ticklabels: minor tick labels
* label: axis label

Typically, the `AxisArtist` associated with an axes will be accessed with the
*axis* dictionary of the axes, i.e., the `AxisArtist` for the bottom axis is ::

  ax.axis["bottom"]

where *ax* is an instance of `mpl_toolkits.axislines.Axes`.  Thus,
``ax.axis["bottom"].line`` is an artist associated with the axis line, and
``ax.axis["bottom"].major_ticks`` is an artist associated with the major tick
lines.

You can change the colors, fonts, line widths, etc. of these artists
by calling suitable set method. For example, to change the color of the major
ticks of the bottom axis to red, use ::

  ax.axis["bottom"].major_ticks.set_color("r")

However, things like the locations of ticks, and their ticklabels need to be
changed from the side of the grid_helper.

axis_direction
--------------

`AxisArtist`, `AxisLabel`, `TickLabels` have an *axis_direction* attribute,
which adjusts the location, angle, etc. The *axis_direction* must be one of
"left", "right", "bottom", "top", and follows the Matplotlib convention for
rectangular axis.

For example, for the *bottom* axis (the left and right is relative to the
direction of the increasing coordinate),

* ticklabels and axislabel are on the right
* ticklabels and axislabel have text angle of 0
* ticklabels are baseline, center-aligned
* axislabel is top, center-aligned

The text angles are actually relative to (90 + angle of the direction to the
ticklabel), which gives 0 for bottom axis.

=================== ====== ======== ====== ========
Parameter           left   bottom   right  top
=================== ====== ======== ====== ========
ticklabels location left   right    right  left
axislabel location  left   right    right  left
ticklabels angle    90     0        -90    180
axislabel angle     180    0        0      180
ticklabel va        center baseline center baseline
axislabel va        center top      center bottom
ticklabel ha        right  center   right  center
axislabel ha        right  center   right  center
=================== ====== ======== ====== ========

Ticks are by default direct opposite side of the ticklabels. To make ticks to
the same side of the ticklabels, ::

  ax.axis["bottom"].major_ticks.set_ticks_out(True)

The following attributes can be customized (use the ``set_xxx`` methods):

* `Ticks`: ticksize, tick_out
* `TickLabels`: pad
* `AxisLabel`: pad
"""

# FIXME :
# angles are given in data coordinate - need to convert it to canvas coordinate


from operator import methodcaller

import numpy as np

from matplotlib import cbook, rcParams
import matplotlib.artist as martist
import matplotlib.text as mtext

from matplotlib.collections import LineCollection
from matplotlib.lines import Line2D
from matplotlib.patches import PathPatch
from matplotlib.path import Path
from matplotlib.transforms import (
    Affine2D, Bbox, IdentityTransform, ScaledTranslation, TransformedPath)

from .axisline_style import AxislineStyle


@cbook.deprecated("3.2", alternative="matplotlib.patches.PathPatch")
class BezierPath(Line2D):

    def __init__(self, path, *args, **kwargs):
        """
        Parameters
        ----------
        path : `~.path.Path`
            The path to draw.
        **kwargs
            All remaining keyword arguments are passed to `.Line2D`.
        """
        Line2D.__init__(self, [], [], *args, **kwargs)
        self._path = path
        self._invalid = False

    def recache(self):
        self._transformed_path = TransformedPath(
            self._path, self.get_transform())
        self._invalid = False

    def set_path(self, path):
        self._path = path
        self._invalid = True

    def draw(self, renderer):
        if self._invalid:
            self.recache()

        if not self._visible:
            return
        renderer.open_group('line2d', gid=self.get_gid())

        gc = renderer.new_gc()
        self._set_gc_clip(gc)

        gc.set_foreground(self._color)
        gc.set_antialiased(self._antialiased)
        gc.set_linewidth(self._linewidth)
        gc.set_alpha(self._alpha)
        if self.is_dashed():
            cap = self._dashcapstyle
            join = self._dashjoinstyle
        else:
            cap = self._solidcapstyle
            join = self._solidjoinstyle
        gc.set_joinstyle(join)
        gc.set_capstyle(cap)
        gc.set_dashes(self._dashOffset, self._dashSeq)

        if self._lineStyles[self._linestyle] != '_draw_nothing':
            tpath, affine = (
                self._transformed_path.get_transformed_path_and_affine())
            renderer.draw_path(gc, tpath, affine.frozen())

        gc.restore()
        renderer.close_group('line2d')


class AttributeCopier:
    @cbook.deprecated("3.2")
    def __init__(self, ref_artist, klass=martist.Artist):
        self._klass = klass
        self._ref_artist = ref_artist
        super().__init__()

    @cbook.deprecated("3.2")
    def set_ref_artist(self, artist):
        self._ref_artist = artist

    def get_ref_artist(self):
        """
        Return the underlying artist that actually defines some properties
        (e.g., color) of this artist.
        """
        raise RuntimeError("get_ref_artist must overridden")

    @cbook._delete_parameter("3.2", "default_value")
    def get_attribute_from_ref_artist(self, attr_name, default_value=None):
        getter = methodcaller("get_" + attr_name)
        prop = getter(super())
        return getter(self.get_ref_artist()) if prop == "auto" else prop


class Ticks(AttributeCopier, Line2D):
    """
    Ticks are derived from Line2D, and note that ticks themselves
    are markers. Thus, you should use set_mec, set_mew, etc.

    To change the tick size (length), you need to use
    set_ticksize. To change the direction of the ticks (ticks are
    in opposite direction of ticklabels by default), use
    set_tick_out(False).
    """

    def __init__(self, ticksize, tick_out=False, *, axis=None, **kwargs):
        self._ticksize = ticksize
        self.locs_angles_labels = []

        self.set_tick_out(tick_out)

        self._axis = axis
        if self._axis is not None:
            if "color" not in kwargs:
                kwargs["color"] = "auto"
            if "mew" not in kwargs and "markeredgewidth" not in kwargs:
                kwargs["markeredgewidth"] = "auto"

        Line2D.__init__(self, [0.], [0.], **kwargs)
        self.set_snap(True)

    def get_ref_artist(self):
        # docstring inherited
        return self._axis.majorTicks[0].tick1line

    def get_color(self):
        return self.get_attribute_from_ref_artist("color")

    def get_markeredgecolor(self):
        return self.get_attribute_from_ref_artist("markeredgecolor")

    def get_markeredgewidth(self):
        return self.get_attribute_from_ref_artist("markeredgewidth")

    def set_tick_out(self, b):
        """Set whether ticks are drawn inside or outside the axes."""
        self._tick_out = b

    def get_tick_out(self):
        """Return whether ticks are drawn inside or outside the axes."""
        return self._tick_out

    def set_ticksize(self, ticksize):
        """Set length of the ticks in points."""
        self._ticksize = ticksize

    def get_ticksize(self):
        """Return length of the ticks in points."""
        return self._ticksize

    def set_locs_angles(self, locs_angles):
        self.locs_angles = locs_angles

    _tickvert_path = Path([[0., 0.], [1., 0.]])

    def draw(self, renderer):
        if not self.get_visible():
            return

        gc = renderer.new_gc()
        gc.set_foreground(self.get_markeredgecolor())
        gc.set_linewidth(self.get_markeredgewidth())
        gc.set_alpha(self._alpha)

        path_trans = self.get_transform()
        marker_transform = (Affine2D()
                            .scale(renderer.points_to_pixels(self._ticksize)))
        if self.get_tick_out():
            marker_transform.rotate_deg(180)

        for loc, angle in self.locs_angles:
            locs = path_trans.transform_non_affine(np.array([loc]))
            if self.axes and not self.axes.viewLim.contains(*locs[0]):
                continue
            renderer.draw_markers(
                gc, self._tickvert_path,
                marker_transform + Affine2D().rotate_deg(angle),
                Path(locs), path_trans.get_affine())

        gc.restore()


class LabelBase(mtext.Text):
    """
    A base class for AxisLabel and TickLabels. The position and angle
    of the text are calculated by to offset_ref_angle,
    text_ref_angle, and offset_radius attributes.
    """

    def __init__(self, *args, **kwargs):
        self.locs_angles_labels = []
        self._ref_angle = 0
        self._offset_radius = 0.

        super().__init__(*args, **kwargs)

        self.set_rotation_mode("anchor")
        self._text_follow_ref_angle = True

    def _set_ref_angle(self, a):
        self._ref_angle = a

    def _get_ref_angle(self):
        return self._ref_angle

    def _get_text_ref_angle(self):
        if self._text_follow_ref_angle:
            return self._get_ref_angle()+90
        else:
            return 0  # self.get_ref_angle()

    def _get_offset_ref_angle(self):
        return self._get_ref_angle()

    def _set_offset_radius(self, offset_radius):
        self._offset_radius = offset_radius

    def _get_offset_radius(self):
        return self._offset_radius

    _get_opposite_direction = {"left": "right",
                               "right": "left",
                               "top": "bottom",
                               "bottom": "top"}.__getitem__

    def draw(self, renderer):
        if not self.get_visible():
            return

        # save original and adjust some properties
        tr = self.get_transform()
        angle_orig = self.get_rotation()
        text_ref_angle = self._get_text_ref_angle()
        offset_ref_angle = self._get_offset_ref_angle()
        theta = np.deg2rad(offset_ref_angle)
        dd = self._get_offset_radius()
        dx, dy = dd * np.cos(theta), dd * np.sin(theta)

        self.set_transform(tr + Affine2D().translate(dx, dy))
        self.set_rotation(text_ref_angle+angle_orig)
        super().draw(renderer)
        # restore original properties
        self.set_transform(tr)
        self.set_rotation(angle_orig)

    def get_window_extent(self, renderer):
        # save original and adjust some properties
        tr = self.get_transform()
        angle_orig = self.get_rotation()
        text_ref_angle = self._get_text_ref_angle()
        offset_ref_angle = self._get_offset_ref_angle()
        theta = np.deg2rad(offset_ref_angle)
        dd = self._get_offset_radius()
        dx, dy = dd * np.cos(theta), dd * np.sin(theta)

        self.set_transform(tr + Affine2D().translate(dx, dy))
        self.set_rotation(text_ref_angle+angle_orig)
        bbox = super().get_window_extent(renderer).frozen()
        # restore original properties
        self.set_transform(tr)
        self.set_rotation(angle_orig)

        return bbox


class AxisLabel(AttributeCopier, LabelBase):
    """
    Axis Label. Derived from Text. The position of the text is updated
    in the fly, so changing text position has no effect. Otherwise, the
    properties can be changed as a normal Text.

    To change the pad between ticklabels and axis label, use set_pad.
    """

    def __init__(self, *args, axis_direction="bottom", axis=None, **kwargs):
        self._axis = axis
        self._pad = 5
        self._extra_pad = 0
        LabelBase.__init__(self, *args, **kwargs)
        self.set_axis_direction(axis_direction)

    def set_pad(self, pad):
        """
        Set the internal pad in points.

        The actual pad will be the sum of the internal pad and the
        external pad (the latter is set automatically by the AxisArtist).
        """
        self._pad = pad

    def get_pad(self):
        """
        Return the internal pad in points.

        See `.set_pad` for more details.
        """
        return self._pad

    def _set_external_pad(self, p):
        """Set external pad in pixels."""
        self._extra_pad = p

    def _get_external_pad(self):
        """Return external pad in pixels."""
        return self._extra_pad

    def get_ref_artist(self):
        # docstring inherited
        return self._axis.get_label()

    def get_text(self):
        t = super().get_text()
        if t == "__from_axes__":
            return self._axis.get_label().get_text()
        return self._text

    _default_alignments = dict(left=("bottom", "center"),
                               right=("top", "center"),
                               bottom=("top", "center"),
                               top=("bottom", "center"))

    def set_default_alignment(self, d):
        va, ha = cbook._check_getitem(self._default_alignments, d=d)
        self.set_va(va)
        self.set_ha(ha)

    _default_angles = dict(left=180,
                           right=0,
                           bottom=0,
                           top=180)

    def set_default_angle(self, d):
        self.set_rotation(cbook._check_getitem(self._default_angles, d=d))

    def set_axis_direction(self, d):
        """
        Adjust the text angle and text alignment of axis label
        according to the matplotlib convention.

        =====================    ========== ========= ========== ==========
        property                 left       bottom    right      top
        =====================    ========== ========= ========== ==========
        axislabel angle          180        0         0          180
        axislabel va             center     top       center     bottom
        axislabel ha             right      center    right      center
        =====================    ========== ========= ========== ==========

        Note that the text angles are actually relative to (90 + angle
        of the direction to the ticklabel), which gives 0 for bottom
        axis.
        """
        self.set_default_alignment(d)
        self.set_default_angle(d)

    def get_color(self):
        return self.get_attribute_from_ref_artist("color")

    def draw(self, renderer):
        if not self.get_visible():
            return

        pad = renderer.points_to_pixels(self.get_pad())
        r = self._get_external_pad() + pad
        self._set_offset_radius(r)

        super().draw(renderer)

    def get_window_extent(self, renderer):
        if not self.get_visible():
            return

        pad = renderer.points_to_pixels(self.get_pad())
        r = self._get_external_pad() + pad
        self._set_offset_radius(r)

        bb = super().get_window_extent(renderer)

        return bb


class TickLabels(AxisLabel):  # mtext.Text
    """
    Tick Labels. While derived from Text, this single artist draws all
    ticklabels. As in AxisLabel, the position of the text is updated
    in the fly, so changing text position has no effect. Otherwise,
    the properties can be changed as a normal Text. Unlike the
    ticklabels of the mainline matplotlib, properties of single
    ticklabel alone cannot modified.

    To change the pad between ticks and ticklabels, use set_pad.
    """

    def __init__(self, *, axis_direction="bottom", **kwargs):
        AxisLabel.__init__(self, **kwargs)
        self.set_axis_direction(axis_direction)
        self._axislabel_pad = 0

    def get_ref_artist(self):
        # docstring inherited
        return self._axis.get_ticklabels()[0]

    def set_axis_direction(self, label_direction):
        """
        Adjust the text angle and text alignment of ticklabels
        according to the matplotlib convention.

        The *label_direction* must be one of [left, right, bottom, top].

        =====================    ========== ========= ========== ==========
        property                 left       bottom    right      top
        =====================    ========== ========= ========== ==========
        ticklabels angle         90         0         -90        180
        ticklabel va             center     baseline  center     baseline
        ticklabel ha             right      center    right      center
        =====================    ========== ========= ========== ==========

        Note that the text angles are actually relative to (90 + angle
        of the direction to the ticklabel), which gives 0 for bottom
        axis.
        """
        self.set_default_alignment(label_direction)
        self.set_default_angle(label_direction)
        self._axis_direction = label_direction

    def invert_axis_direction(self):
        label_direction = self._get_opposite_direction(self._axis_direction)
        self.set_axis_direction(label_direction)

    def _get_ticklabels_offsets(self, renderer, label_direction):
        """
        Calculate the ticklabel offsets from the tick and their total heights.

        The offset only takes account the offset due to the vertical alignment
        of the ticklabels: if axis direction is bottom and va is 'top', it will
        return 0; if va is 'baseline', it will return (height-descent).
        """
        whd_list = self.get_texts_widths_heights_descents(renderer)

        if not whd_list:
            return 0, 0

        r = 0
        va, ha = self.get_va(), self.get_ha()

        if label_direction == "left":
            pad = max(w for w, h, d in whd_list)
            if ha == "left":
                r = pad
            elif ha == "center":
                r = .5 * pad
        elif label_direction == "right":
            pad = max(w for w, h, d in whd_list)
            if ha == "right":
                r = pad
            elif ha == "center":
                r = .5 * pad
        elif label_direction == "bottom":
            pad = max(h for w, h, d in whd_list)
            if va == "bottom":
                r = pad
            elif va == "center":
                r = .5 * pad
            elif va == "baseline":
                max_ascent = max(h - d for w, h, d in whd_list)
                max_descent = max(d for w, h, d in whd_list)
                r = max_ascent
                pad = max_ascent + max_descent
        elif label_direction == "top":
            pad = max(h for w, h, d in whd_list)
            if va == "top":
                r = pad
            elif va == "center":
                r = .5 * pad
            elif va == "baseline":
                max_ascent = max(h - d for w, h, d in whd_list)
                max_descent = max(d for w, h, d in whd_list)
                r = max_descent
                pad = max_ascent + max_descent

        # r : offset
        # pad : total height of the ticklabels. This will be used to
        # calculate the pad for the axislabel.
        return r, pad

    _default_alignments = dict(left=("center", "right"),
                               right=("center", "left"),
                               bottom=("baseline", "center"),
                               top=("baseline", "center"))

    _default_angles = dict(left=90,
                           right=-90,
                           bottom=0,
                           top=180)

    def draw(self, renderer):
        if not self.get_visible():
            self._axislabel_pad = self._get_external_pad()
            return

        r, total_width = self._get_ticklabels_offsets(renderer,
                                                      self._axis_direction)

        pad = (self._get_external_pad()
               + renderer.points_to_pixels(self.get_pad()))
        self._set_offset_radius(r+pad)

        for (x, y), a, l in self._locs_angles_labels:
            if not l.strip():
                continue
            self._set_ref_angle(a)  # + add_angle
            self.set_x(x)
            self.set_y(y)
            self.set_text(l)
            LabelBase.draw(self, renderer)

        # the value saved will be used to draw axislabel.
        self._axislabel_pad = total_width + pad

    def set_locs_angles_labels(self, locs_angles_labels):
        self._locs_angles_labels = locs_angles_labels

    def get_window_extents(self, renderer):

        if not self.get_visible():
            self._axislabel_pad = self._get_external_pad()
            return []

        bboxes = []

        r, total_width = self._get_ticklabels_offsets(renderer,
                                                      self._axis_direction)

        pad = self._get_external_pad() + \
            renderer.points_to_pixels(self.get_pad())
        self._set_offset_radius(r+pad)

        for (x, y), a, l in self._locs_angles_labels:
            self._set_ref_angle(a)  # + add_angle
            self.set_x(x)
            self.set_y(y)
            self.set_text(l)
            bb = LabelBase.get_window_extent(self, renderer)
            bboxes.append(bb)

        # the value saved will be used to draw axislabel.
        self._axislabel_pad = total_width + pad

        return bboxes

    def get_texts_widths_heights_descents(self, renderer):
        """
        Return a list of ``(width, height, descent)`` tuples for ticklabels.

        Empty labels are left out.
        """
        whd_list = []
        for _loc, _angle, label in self._locs_angles_labels:
            if not label.strip():
                continue
            clean_line, ismath = self._preprocess_math(label)
            whd = renderer.get_text_width_height_descent(
                clean_line, self._fontproperties, ismath=ismath)
            whd_list.append(whd)
        return whd_list


class GridlinesCollection(LineCollection):
    def __init__(self, *args, which="major", axis="both", **kwargs):
        """
        Parameters
        ----------
        which : {"major", "minor"}
        axis : {"both", "x", "y"}
        """
        self._which = which
        self._axis = axis
        super().__init__(*args, **kwargs)
        self.set_grid_helper(None)

    def set_which(self, which):
        self._which = which

    def set_axis(self, axis):
        self._axis = axis

    def set_grid_helper(self, grid_helper):
        self._grid_helper = grid_helper

    def draw(self, renderer):
        if self._grid_helper is not None:
            self._grid_helper.update_lim(self.axes)
            gl = self._grid_helper.get_gridlines(self._which, self._axis)
            if gl:
                self.set_segments([np.transpose(l) for l in gl])
            else:
                self.set_segments([])
        super().draw(renderer)


class AxisArtist(martist.Artist):
    """
    An artist which draws axis (a line along which the n-th axes coord
    is constant) line, ticks, ticklabels, and axis label.
    """

    zorder = ZORDER = 2.5  # ZORDER is a backcompat alias.

    @property
    def LABELPAD(self):
        return self.label.get_pad()

    @LABELPAD.setter
    def LABELPAD(self, v):
        self.label.set_pad(v)

    def __init__(self, axes,
                 helper,
                 offset=None,
                 axis_direction="bottom",
                 **kwargs):
        """
        Parameters
        ----------
        axes : `mpl_toolkits.axisartist.axislines.Axes`
        helper : `~mpl_toolkits.axisartist.axislines.AxisArtistHelper`
        """
        #axes is also used to follow the axis attribute (tick color, etc).

        super().__init__(**kwargs)

        self.axes = axes

        self._axis_artist_helper = helper

        if offset is None:
            offset = (0, 0)
        self.offset_transform = ScaledTranslation(
            *offset,
            Affine2D().scale(1 / 72)  # points to inches.
            + self.axes.figure.dpi_scale_trans)

        if axis_direction in ["left", "right"]:
            self.axis = axes.yaxis
        else:
            self.axis = axes.xaxis

        self._axisline_style = None
        self._axis_direction = axis_direction

        self._init_line()
        self._init_ticks(**kwargs)
        self._init_offsetText(axis_direction)
        self._init_label()

        # axis direction
        self._ticklabel_add_angle = 0.
        self._axislabel_add_angle = 0.
        self.set_axis_direction(axis_direction)

    @cbook.deprecated("3.3")
    @property
    def dpi_transform(self):
        return Affine2D().scale(1 / 72) + self.axes.figure.dpi_scale_trans

    # axis direction

    def set_axis_direction(self, axis_direction):
        """
        Adjust the direction, text angle, text alignment of
        ticklabels, labels following the matplotlib convention for
        the rectangle axes.

        The *axis_direction* must be one of [left, right, bottom, top].

        =====================    ========== ========= ========== ==========
        property                 left       bottom    right      top
        =====================    ========== ========= ========== ==========
        ticklabels location      "-"        "+"       "+"        "-"
        axislabel location       "-"        "+"       "+"        "-"
        ticklabels angle         90         0         -90        180
        ticklabel va             center     baseline  center     baseline
        ticklabel ha             right      center    right      center
        axislabel angle          180        0         0          180
        axislabel va             center     top       center     bottom
        axislabel ha             right      center    right      center
        =====================    ========== ========= ========== ==========

        Note that the direction "+" and "-" are relative to the direction of
        the increasing coordinate. Also, the text angles are actually
        relative to (90 + angle of the direction to the ticklabel),
        which gives 0 for bottom axis.
        """
        self.major_ticklabels.set_axis_direction(axis_direction)
        self.label.set_axis_direction(axis_direction)
        self._axis_direction = axis_direction
        if axis_direction in ["left", "top"]:
            self.set_ticklabel_direction("-")
            self.set_axislabel_direction("-")
        else:
            self.set_ticklabel_direction("+")
            self.set_axislabel_direction("+")

    def set_ticklabel_direction(self, tick_direction):
        r"""
        Adjust the direction of the ticklabel.

        Note that the *label_direction*\s '+' and '-' are relative to the
        direction of the increasing coordinate.

        Parameters
        ----------
        tick_direction : {"+", "-"}
        """
        self._ticklabel_add_angle = cbook._check_getitem(
            {"+": 0, "-": 180}, tick_direction=tick_direction)

    def invert_ticklabel_direction(self):
        self._ticklabel_add_angle = (self._ticklabel_add_angle + 180) % 360
        self.major_ticklabels.invert_axis_direction()
        self.minor_ticklabels.invert_axis_direction()

    def set_axislabel_direction(self, label_direction):
        r"""
        Adjust the direction of the axislabel.

        Note that the *label_direction*\s '+' and '-' are relative to the
        direction of the increasing coordinate.

        Parameters
        ----------
        tick_direction : {"+", "-"}
        """
        self._axislabel_add_angle = cbook._check_getitem(
            {"+": 0, "-": 180}, label_direction=label_direction)

    def get_transform(self):
        return self.axes.transAxes + self.offset_transform

    def get_helper(self):
        """
        Return axis artist helper instance.
        """
        return self._axis_artist_helper

    def set_axisline_style(self, axisline_style=None, **kwargs):
        """
        Set the axisline style.

        The new style is completely defined by the passed attributes. Existing
        style attributes are forgotten.

        Parameters
        ----------
        axisline_style : str or None
            The line style, e.g. '->', optionally followed by a comma-separated
            list of attributes. Alternatively, the attributes can be provided
            as keywords.

            If *None* this returns a string containing the available styles.

        Examples
        --------
        The following two commands are equal:
        >>> set_axisline_style("->,size=1.5")
        >>> set_axisline_style("->", size=1.5)
        """
        if axisline_style is None:
            return AxislineStyle.pprint_styles()

        if isinstance(axisline_style, AxislineStyle._Base):
            self._axisline_style = axisline_style
        else:
            self._axisline_style = AxislineStyle(axisline_style, **kwargs)

        self._init_line()

    def get_axisline_style(self):
        """Return the current axisline style."""
        return self._axisline_style

    def _init_line(self):
        """
        Initialize the *line* artist that is responsible to draw the axis line.
        """
        tran = (self._axis_artist_helper.get_line_transform(self.axes)
                + self.offset_transform)

        axisline_style = self.get_axisline_style()
        if axisline_style is None:
            self.line = PathPatch(
                self._axis_artist_helper.get_line(self.axes),
                color=rcParams['axes.edgecolor'],
                fill=False,
                linewidth=rcParams['axes.linewidth'],
                capstyle=rcParams['lines.solid_capstyle'],
                joinstyle=rcParams['lines.solid_joinstyle'],
                transform=tran)
        else:
            self.line = axisline_style(self, transform=tran)

    def _draw_line(self, renderer):
        self.line.set_path(self._axis_artist_helper.get_line(self.axes))
        if self.get_axisline_style() is not None:
            self.line.set_line_mutation_scale(self.major_ticklabels.get_size())
        self.line.draw(renderer)

    def _init_ticks(self, **kwargs):
        axis_name = self.axis.axis_name

        trans = (self._axis_artist_helper.get_tick_transform(self.axes)
                 + self.offset_transform)

        self.major_ticks = Ticks(
            kwargs.get(
                "major_tick_size", rcParams[f"{axis_name}tick.major.size"]),
            axis=self.axis, transform=trans)
        self.minor_ticks = Ticks(
            kwargs.get(
                "minor_tick_size", rcParams[f"{axis_name}tick.minor.size"]),
            axis=self.axis, transform=trans)

        size = rcParams[f"{axis_name}tick.labelsize"]
        self.major_ticklabels = TickLabels(
            axis=self.axis,
            axis_direction=self._axis_direction,
            figure=self.axes.figure,
            transform=trans,
            fontsize=size,
            pad=kwargs.get(
                "major_tick_pad", rcParams[f"{axis_name}tick.major.pad"]),
        )
        self.minor_ticklabels = TickLabels(
            axis=self.axis,
            axis_direction=self._axis_direction,
            figure=self.axes.figure,
            transform=trans,
            fontsize=size,
            pad=kwargs.get(
                "minor_tick_pad", rcParams[f"{axis_name}tick.minor.pad"]),
        )

    def _get_tick_info(self, tick_iter):
        """
        Return a pair of:

        - list of locs and angles for ticks
        - list of locs, angles and labels for ticklabels.
        """
        ticks_loc_angle = []
        ticklabels_loc_angle_label = []

        ticklabel_add_angle = self._ticklabel_add_angle

        for loc, angle_normal, angle_tangent, label in tick_iter:
            angle_label = angle_tangent - 90 + ticklabel_add_angle
            angle_tick = (angle_normal
                          if 90 <= (angle_label - angle_normal) % 360 <= 270
                          else angle_normal + 180)
            ticks_loc_angle.append([loc, angle_tick])
            ticklabels_loc_angle_label.append([loc, angle_label, label])

        return ticks_loc_angle, ticklabels_loc_angle_label

    def _update_ticks(self, renderer):
        # set extra pad for major and minor ticklabels: use ticksize of
        # majorticks even for minor ticks. not clear what is best.

        dpi_cor = renderer.points_to_pixels(1.)
        if self.major_ticks.get_visible() and self.major_ticks.get_tick_out():
            self.major_ticklabels._set_external_pad(
                self.major_ticks._ticksize * dpi_cor)
            self.minor_ticklabels._set_external_pad(
                self.major_ticks._ticksize * dpi_cor)
        else:
            self.major_ticklabels._set_external_pad(0)
            self.minor_ticklabels._set_external_pad(0)

        majortick_iter, minortick_iter = \
            self._axis_artist_helper.get_tick_iterators(self.axes)

        tick_loc_angle, ticklabel_loc_angle_label = \
            self._get_tick_info(majortick_iter)

        self.major_ticks.set_locs_angles(tick_loc_angle)
        self.major_ticklabels.set_locs_angles_labels(ticklabel_loc_angle_label)

        # minor ticks
        tick_loc_angle, ticklabel_loc_angle_label = \
            self._get_tick_info(minortick_iter)

        self.minor_ticks.set_locs_angles(tick_loc_angle)
        self.minor_ticklabels.set_locs_angles_labels(ticklabel_loc_angle_label)

        return self.major_ticklabels.get_window_extents(renderer)

    def _draw_ticks(self, renderer):

        extents = self._update_ticks(renderer)

        self.major_ticks.draw(renderer)
        self.major_ticklabels.draw(renderer)

        self.minor_ticks.draw(renderer)
        self.minor_ticklabels.draw(renderer)

        if (self.major_ticklabels.get_visible()
                or self.minor_ticklabels.get_visible()):
            self._draw_offsetText(renderer)

        return extents

    def _draw_ticks2(self, renderer):
        # set extra pad for major and minor ticklabels: use ticksize of
        # majorticks even for minor ticks. not clear what is best.

        dpi_cor = renderer.points_to_pixels(1.)
        if self.major_ticks.get_visible() and self.major_ticks.get_tick_out():
            self.major_ticklabels._set_external_pad(
                self.major_ticks._ticksize * dpi_cor)
            self.minor_ticklabels._set_external_pad(
                self.major_ticks._ticksize * dpi_cor)
        else:
            self.major_ticklabels._set_external_pad(0)
            self.minor_ticklabels._set_external_pad(0)

        majortick_iter, minortick_iter = \
            self._axis_artist_helper.get_tick_iterators(self.axes)

        tick_loc_angle, ticklabel_loc_angle_label = \
            self._get_tick_info(majortick_iter)

        self.major_ticks.set_locs_angles(tick_loc_angle)
        self.major_ticklabels.set_locs_angles_labels(ticklabel_loc_angle_label)

        self.major_ticks.draw(renderer)
        self.major_ticklabels.draw(renderer)

        # minor ticks
        tick_loc_angle, ticklabel_loc_angle_label = \
            self._get_tick_info(minortick_iter)

        self.minor_ticks.set_locs_angles(tick_loc_angle)
        self.minor_ticklabels.set_locs_angles_labels(ticklabel_loc_angle_label)

        self.minor_ticks.draw(renderer)
        self.minor_ticklabels.draw(renderer)

        if (self.major_ticklabels.get_visible()
                or self.minor_ticklabels.get_visible()):
            self._draw_offsetText(renderer)

        return self.major_ticklabels.get_window_extents(renderer)

    _offsetText_pos = dict(left=(0, 1, "bottom", "right"),
                           right=(1, 1, "bottom", "left"),
                           bottom=(1, 0, "top", "right"),
                           top=(1, 1, "bottom", "right"))

    def _init_offsetText(self, direction):
        x, y, va, ha = self._offsetText_pos[direction]
        self.offsetText = mtext.Annotation(
            "",
            xy=(x, y), xycoords="axes fraction",
            xytext=(0, 0), textcoords="offset points",
            color=rcParams['xtick.color'],
            horizontalalignment=ha, verticalalignment=va,
        )
        self.offsetText.set_transform(IdentityTransform())
        self.axes._set_artist_props(self.offsetText)

    def _update_offsetText(self):
        self.offsetText.set_text(self.axis.major.formatter.get_offset())
        self.offsetText.set_size(self.major_ticklabels.get_size())
        offset = (self.major_ticklabels.get_pad()
                  + self.major_ticklabels.get_size()
                  + 2)
        self.offsetText.xyann = (0, offset)

    def _draw_offsetText(self, renderer):
        self._update_offsetText()
        self.offsetText.draw(renderer)

    def _init_label(self, **kwargs):
        tr = (self._axis_artist_helper.get_axislabel_transform(self.axes)
              + self.offset_transform)
        self.label = AxisLabel(
            0, 0, "__from_axes__",
            color="auto",
            fontsize=kwargs.get("labelsize", rcParams['axes.labelsize']),
            fontweight=rcParams['axes.labelweight'],
            axis=self.axis,
            transform=tr,
            axis_direction=self._axis_direction,
        )
        self.label.set_figure(self.axes.figure)
        labelpad = kwargs.get("labelpad", 5)
        self.label.set_pad(labelpad)

    def _update_label(self, renderer):
        if not self.label.get_visible():
            return

        if self._ticklabel_add_angle != self._axislabel_add_angle:
            if ((self.major_ticks.get_visible()
                 and not self.major_ticks.get_tick_out())
                or (self.minor_ticks.get_visible()
                    and not self.major_ticks.get_tick_out())):
                axislabel_pad = self.major_ticks._ticksize
            else:
                axislabel_pad = 0
        else:
            axislabel_pad = max(self.major_ticklabels._axislabel_pad,
                                self.minor_ticklabels._axislabel_pad)

        self.label._set_external_pad(axislabel_pad)

        xy, angle_tangent = \
            self._axis_artist_helper.get_axislabel_pos_angle(self.axes)
        if xy is None:
            return

        angle_label = angle_tangent - 90

        x, y = xy
        self.label._set_ref_angle(angle_label+self._axislabel_add_angle)
        self.label.set(x=x, y=y)

    def _draw_label(self, renderer):
        self._update_label(renderer)
        self.label.draw(renderer)

    def _draw_label2(self, renderer):
        if not self.label.get_visible():
            return

        if self._ticklabel_add_angle != self._axislabel_add_angle:
            if ((self.major_ticks.get_visible()
                 and not self.major_ticks.get_tick_out())
                or (self.minor_ticks.get_visible()
                    and not self.major_ticks.get_tick_out())):
                axislabel_pad = self.major_ticks._ticksize
            else:
                axislabel_pad = 0
        else:
            axislabel_pad = max(self.major_ticklabels._axislabel_pad,
                                self.minor_ticklabels._axislabel_pad)

        self.label._set_external_pad(axislabel_pad)

        xy, angle_tangent = \
            self._axis_artist_helper.get_axislabel_pos_angle(self.axes)
        if xy is None:
            return

        angle_label = angle_tangent - 90

        x, y = xy
        self.label._set_ref_angle(angle_label+self._axislabel_add_angle)
        self.label.set(x=x, y=y)
        self.label.draw(renderer)

    def set_label(self, s):
        self.label.set_text(s)

    def get_tightbbox(self, renderer):
        if not self.get_visible():
            return
        self._axis_artist_helper.update_lim(self.axes)
        self._update_ticks(renderer)
        self._update_label(renderer)
        bb = [
            *self.major_ticklabels.get_window_extents(renderer),
            *self.minor_ticklabels.get_window_extents(renderer),
            self.label.get_window_extent(renderer),
            self.offsetText.get_window_extent(renderer),
        ]
        bb = [b for b in bb if b and (b.width != 0 or b.height != 0)]
        if bb:
            _bbox = Bbox.union(bb)
            return _bbox
        else:
            return None

    @martist.allow_rasterization
    def draw(self, renderer):
        # docstring inherited
        if not self.get_visible():
            return
        renderer.open_group(__name__, gid=self.get_gid())
        self._axis_artist_helper.update_lim(self.axes)
        self._draw_ticks(renderer)
        self._draw_line(renderer)
        self._draw_label(renderer)
        renderer.close_group(__name__)

    def toggle(self, all=None, ticks=None, ticklabels=None, label=None):
        """
        Toggle visibility of ticks, ticklabels, and (axis) label.
        To turn all off, ::

          axis.toggle(all=False)

        To turn all off but ticks on ::

          axis.toggle(all=False, ticks=True)

        To turn all on but (axis) label off ::

          axis.toggle(all=True, label=False))

        """
        if all:
            _ticks, _ticklabels, _label = True, True, True
        elif all is not None:
            _ticks, _ticklabels, _label = False, False, False
        else:
            _ticks, _ticklabels, _label = None, None, None

        if ticks is not None:
            _ticks = ticks
        if ticklabels is not None:
            _ticklabels = ticklabels
        if label is not None:
            _label = label

        if _ticks is not None:
            self.major_ticks.set_visible(_ticks)
            self.minor_ticks.set_visible(_ticks)
        if _ticklabels is not None:
            self.major_ticklabels.set_visible(_ticklabels)
            self.minor_ticklabels.set_visible(_ticklabels)
        if _label is not None:
            self.label.set_visible(_label)