I am done

rl/Lib/site-packages/mpl_toolkits/axisartist/tests/__init__.py

@@ -0,0 +1,10 @@
+from pathlib import Path
+
+
+# Check that the test directories exist
+if not (Path(__file__).parent / "baseline_images").exists():
+    raise OSError(
+        'The baseline image directory does not exist. '
+        'This is most likely because the test data is not installed. '
+        'You may need to install matplotlib from source to get the '
+        'test data.')

rl/Lib/site-packages/mpl_toolkits/axisartist/tests/conftest.py

@@ -0,0 +1,2 @@
+from matplotlib.testing.conftest import (mpl_test_settings,  # noqa
+                                         pytest_configure, pytest_unconfigure)

rl/Lib/site-packages/mpl_toolkits/axisartist/tests/test_angle_helper.py

@@ -0,0 +1,141 @@
+import re
+
+import numpy as np
+import pytest
+
+from mpl_toolkits.axisartist.angle_helper import (
+    FormatterDMS, FormatterHMS, select_step, select_step24, select_step360)
+
+
+_MS_RE = (
+    r'''\$  # Mathtext
+        (
+            # The sign sometimes appears on a 0 when a fraction is shown.
+            # Check later that there's only one.
+            (?P<degree_sign>-)?
+            (?P<degree>[0-9.]+)  # Degrees value
+            {degree}  # Degree symbol (to be replaced by format.)
+        )?
+        (
+            (?(degree)\\,)  # Separator if degrees are also visible.
+            (?P<minute_sign>-)?
+            (?P<minute>[0-9.]+)  # Minutes value
+            {minute}  # Minute symbol (to be replaced by format.)
+        )?
+        (
+            (?(minute)\\,)  # Separator if minutes are also visible.
+            (?P<second_sign>-)?
+            (?P<second>[0-9.]+)  # Seconds value
+            {second}  # Second symbol (to be replaced by format.)
+        )?
+        \$  # Mathtext
+    '''
+)
+DMS_RE = re.compile(_MS_RE.format(degree=re.escape(FormatterDMS.deg_mark),
+                                  minute=re.escape(FormatterDMS.min_mark),
+                                  second=re.escape(FormatterDMS.sec_mark)),
+                    re.VERBOSE)
+HMS_RE = re.compile(_MS_RE.format(degree=re.escape(FormatterHMS.deg_mark),
+                                  minute=re.escape(FormatterHMS.min_mark),
+                                  second=re.escape(FormatterHMS.sec_mark)),
+                    re.VERBOSE)
+
+
+def dms2float(degrees, minutes=0, seconds=0):
+    return degrees + minutes / 60.0 + seconds / 3600.0
+
+
+@pytest.mark.parametrize('args, kwargs, expected_levels, expected_factor', [
+    ((-180, 180, 10), {'hour': False}, np.arange(-180, 181, 30), 1.0),
+    ((-12, 12, 10), {'hour': True}, np.arange(-12, 13, 2), 1.0)
+])
+def test_select_step(args, kwargs, expected_levels, expected_factor):
+    levels, n, factor = select_step(*args, **kwargs)
+
+    assert n == len(levels)
+    np.testing.assert_array_equal(levels, expected_levels)
+    assert factor == expected_factor
+
+
+@pytest.mark.parametrize('args, kwargs, expected_levels, expected_factor', [
+    ((-180, 180, 10), {}, np.arange(-180, 181, 30), 1.0),
+    ((-12, 12, 10), {}, np.arange(-750, 751, 150), 60.0)
+])
+def test_select_step24(args, kwargs, expected_levels, expected_factor):
+    levels, n, factor = select_step24(*args, **kwargs)
+
+    assert n == len(levels)
+    np.testing.assert_array_equal(levels, expected_levels)
+    assert factor == expected_factor
+
+
+@pytest.mark.parametrize('args, kwargs, expected_levels, expected_factor', [
+    ((dms2float(20, 21.2), dms2float(21, 33.3), 5), {},
+     np.arange(1215, 1306, 15), 60.0),
+    ((dms2float(20.5, seconds=21.2), dms2float(20.5, seconds=33.3), 5), {},
+     np.arange(73820, 73835, 2), 3600.0),
+    ((dms2float(20, 21.2), dms2float(20, 53.3), 5), {},
+     np.arange(1220, 1256, 5), 60.0),
+    ((21.2, 33.3, 5), {},
+     np.arange(20, 35, 2), 1.0),
+    ((dms2float(20, 21.2), dms2float(21, 33.3), 5), {},
+     np.arange(1215, 1306, 15), 60.0),
+    ((dms2float(20.5, seconds=21.2), dms2float(20.5, seconds=33.3), 5), {},
+     np.arange(73820, 73835, 2), 3600.0),
+    ((dms2float(20.5, seconds=21.2), dms2float(20.5, seconds=21.4), 5), {},
+     np.arange(7382120, 7382141, 5), 360000.0),
+    # test threshold factor
+    ((dms2float(20.5, seconds=11.2), dms2float(20.5, seconds=53.3), 5),
+     {'threshold_factor': 60}, np.arange(12301, 12310), 600.0),
+    ((dms2float(20.5, seconds=11.2), dms2float(20.5, seconds=53.3), 5),
+     {'threshold_factor': 1}, np.arange(20502, 20517, 2), 1000.0),
+])
+def test_select_step360(args, kwargs, expected_levels, expected_factor):
+    levels, n, factor = select_step360(*args, **kwargs)
+
+    assert n == len(levels)
+    np.testing.assert_array_equal(levels, expected_levels)
+    assert factor == expected_factor
+
+
+@pytest.mark.parametrize('Formatter, regex',
+                         [(FormatterDMS, DMS_RE),
+                          (FormatterHMS, HMS_RE)],
+                         ids=['Degree/Minute/Second', 'Hour/Minute/Second'])
+@pytest.mark.parametrize('direction, factor, values', [
+    ("left", 60, [0, -30, -60]),
+    ("left", 600, [12301, 12302, 12303]),
+    ("left", 3600, [0, -30, -60]),
+    ("left", 36000, [738210, 738215, 738220]),
+    ("left", 360000, [7382120, 7382125, 7382130]),
+    ("left", 1., [45, 46, 47]),
+    ("left", 10., [452, 453, 454]),
+])
+def test_formatters(Formatter, regex, direction, factor, values):
+    fmt = Formatter()
+    result = fmt(direction, factor, values)
+
+    prev_degree = prev_minute = prev_second = None
+    for tick, value in zip(result, values):
+        m = regex.match(tick)
+        assert m is not None, f'{tick!r} is not an expected tick format.'
+
+        sign = sum(m.group(sign + '_sign') is not None
+                   for sign in ('degree', 'minute', 'second'))
+        assert sign <= 1, f'Only one element of tick {tick!r} may have a sign.'
+        sign = 1 if sign == 0 else -1
+
+        degree = float(m.group('degree') or prev_degree or 0)
+        minute = float(m.group('minute') or prev_minute or 0)
+        second = float(m.group('second') or prev_second or 0)
+        if Formatter == FormatterHMS:
+            # 360 degrees as plot range -> 24 hours as labelled range
+            expected_value = pytest.approx((value // 15) / factor)
+        else:
+            expected_value = pytest.approx(value / factor)
+        assert sign * dms2float(degree, minute, second) == expected_value, \
+            f'{tick!r} does not match expected tick value.'
+
+        prev_degree = degree
+        prev_minute = minute
+        prev_second = second

rl/Lib/site-packages/mpl_toolkits/axisartist/tests/test_axis_artist.py

@@ -0,0 +1,99 @@
+import matplotlib.pyplot as plt
+from matplotlib.testing.decorators import image_comparison
+
+from mpl_toolkits.axisartist import AxisArtistHelperRectlinear
+from mpl_toolkits.axisartist.axis_artist import (AxisArtist, AxisLabel,
+                                                 LabelBase, Ticks, TickLabels)
+
+
+@image_comparison(['axis_artist_ticks.png'], style='default')
+def test_ticks():
+    fig, ax = plt.subplots()
+
+    ax.xaxis.set_visible(False)
+    ax.yaxis.set_visible(False)
+
+    locs_angles = [((i / 10, 0.0), i * 30) for i in range(-1, 12)]
+
+    ticks_in = Ticks(ticksize=10, axis=ax.xaxis)
+    ticks_in.set_locs_angles(locs_angles)
+    ax.add_artist(ticks_in)
+
+    ticks_out = Ticks(ticksize=10, tick_out=True, color='C3', axis=ax.xaxis)
+    ticks_out.set_locs_angles(locs_angles)
+    ax.add_artist(ticks_out)
+
+
+@image_comparison(['axis_artist_labelbase.png'], style='default')
+def test_labelbase():
+    # Remove this line when this test image is regenerated.
+    plt.rcParams['text.kerning_factor'] = 6
+
+    fig, ax = plt.subplots()
+
+    ax.plot([0.5], [0.5], "o")
+
+    label = LabelBase(0.5, 0.5, "Test")
+    label._ref_angle = -90
+    label._offset_radius = 50
+    label.set_rotation(-90)
+    label.set(ha="center", va="top")
+    ax.add_artist(label)
+
+
+@image_comparison(['axis_artist_ticklabels.png'], style='default')
+def test_ticklabels():
+    # Remove this line when this test image is regenerated.
+    plt.rcParams['text.kerning_factor'] = 6
+
+    fig, ax = plt.subplots()
+
+    ax.xaxis.set_visible(False)
+    ax.yaxis.set_visible(False)
+
+    ax.plot([0.2, 0.4], [0.5, 0.5], "o")
+
+    ticks = Ticks(ticksize=10, axis=ax.xaxis)
+    ax.add_artist(ticks)
+    locs_angles_labels = [((0.2, 0.5), -90, "0.2"),
+                          ((0.4, 0.5), -120, "0.4")]
+    tick_locs_angles = [(xy, a + 180) for xy, a, l in locs_angles_labels]
+    ticks.set_locs_angles(tick_locs_angles)
+
+    ticklabels = TickLabels(axis_direction="left")
+    ticklabels._locs_angles_labels = locs_angles_labels
+    ticklabels.set_pad(10)
+    ax.add_artist(ticklabels)
+
+    ax.plot([0.5], [0.5], "s")
+    axislabel = AxisLabel(0.5, 0.5, "Test")
+    axislabel._offset_radius = 20
+    axislabel._ref_angle = 0
+    axislabel.set_axis_direction("bottom")
+    ax.add_artist(axislabel)
+
+    ax.set_xlim(0, 1)
+    ax.set_ylim(0, 1)
+
+
+@image_comparison(['axis_artist.png'], style='default')
+def test_axis_artist():
+    # Remove this line when this test image is regenerated.
+    plt.rcParams['text.kerning_factor'] = 6
+
+    fig, ax = plt.subplots()
+
+    ax.xaxis.set_visible(False)
+    ax.yaxis.set_visible(False)
+
+    for loc in ('left', 'right', 'bottom'):
+        helper = AxisArtistHelperRectlinear.Fixed(ax, loc=loc)
+        axisline = AxisArtist(ax, helper, offset=None, axis_direction=loc)
+        ax.add_artist(axisline)
+
+    # Settings for bottom AxisArtist.
+    axisline.set_label("TTT")
+    axisline.major_ticks.set_tick_out(False)
+    axisline.label.set_pad(5)
+
+    ax.set_ylabel("Test")

rl/Lib/site-packages/mpl_toolkits/axisartist/tests/test_axislines.py

@@ -0,0 +1,147 @@
+import numpy as np
+import matplotlib.pyplot as plt
+from matplotlib.testing.decorators import image_comparison
+from matplotlib.transforms import IdentityTransform
+
+from mpl_toolkits.axisartist.axislines import AxesZero, SubplotZero, Subplot
+from mpl_toolkits.axisartist import Axes, SubplotHost
+
+
+@image_comparison(['SubplotZero.png'], style='default')
+def test_SubplotZero():
+    # Remove this line when this test image is regenerated.
+    plt.rcParams['text.kerning_factor'] = 6
+
+    fig = plt.figure()
+
+    ax = SubplotZero(fig, 1, 1, 1)
+    fig.add_subplot(ax)
+
+    ax.axis["xzero"].set_visible(True)
+    ax.axis["xzero"].label.set_text("Axis Zero")
+
+    for n in ["top", "right"]:
+        ax.axis[n].set_visible(False)
+
+    xx = np.arange(0, 2 * np.pi, 0.01)
+    ax.plot(xx, np.sin(xx))
+    ax.set_ylabel("Test")
+
+
+@image_comparison(['Subplot.png'], style='default')
+def test_Subplot():
+    # Remove this line when this test image is regenerated.
+    plt.rcParams['text.kerning_factor'] = 6
+
+    fig = plt.figure()
+
+    ax = Subplot(fig, 1, 1, 1)
+    fig.add_subplot(ax)
+
+    xx = np.arange(0, 2 * np.pi, 0.01)
+    ax.plot(xx, np.sin(xx))
+    ax.set_ylabel("Test")
+
+    ax.axis["top"].major_ticks.set_tick_out(True)
+    ax.axis["bottom"].major_ticks.set_tick_out(True)
+
+    ax.axis["bottom"].set_label("Tk0")
+
+
+def test_Axes():
+    fig = plt.figure()
+    ax = Axes(fig, [0.15, 0.1, 0.65, 0.8])
+    fig.add_axes(ax)
+    ax.plot([1, 2, 3], [0, 1, 2])
+    ax.set_xscale('log')
+    fig.canvas.draw()
+
+
+@image_comparison(['ParasiteAxesAuxTrans_meshplot.png'],
+                  remove_text=True, style='default', tol=0.075)
+def test_ParasiteAxesAuxTrans():
+    data = np.ones((6, 6))
+    data[2, 2] = 2
+    data[0, :] = 0
+    data[-2, :] = 0
+    data[:, 0] = 0
+    data[:, -2] = 0
+    x = np.arange(6)
+    y = np.arange(6)
+    xx, yy = np.meshgrid(x, y)
+
+    funcnames = ['pcolor', 'pcolormesh', 'contourf']
+
+    fig = plt.figure()
+    for i, name in enumerate(funcnames):
+
+        ax1 = SubplotHost(fig, 1, 3, i+1)
+        fig.add_subplot(ax1)
+
+        ax2 = ax1.get_aux_axes(IdentityTransform(), viewlim_mode=None)
+        if name.startswith('pcolor'):
+            getattr(ax2, name)(xx, yy, data[:-1, :-1])
+        else:
+            getattr(ax2, name)(xx, yy, data)
+        ax1.set_xlim((0, 5))
+        ax1.set_ylim((0, 5))
+
+    ax2.contour(xx, yy, data, colors='k')
+
+
+@image_comparison(['axisline_style.png'], remove_text=True, style='mpl20')
+def test_axisline_style():
+    fig = plt.figure(figsize=(2, 2))
+    ax = fig.add_subplot(axes_class=AxesZero)
+    ax.axis["xzero"].set_axisline_style("-|>")
+    ax.axis["xzero"].set_visible(True)
+    ax.axis["yzero"].set_axisline_style("->")
+    ax.axis["yzero"].set_visible(True)
+
+    for direction in ("left", "right", "bottom", "top"):
+        ax.axis[direction].set_visible(False)
+
+
+@image_comparison(['axisline_style_size_color.png'], remove_text=True,
+                  style='mpl20')
+def test_axisline_style_size_color():
+    fig = plt.figure(figsize=(2, 2))
+    ax = fig.add_subplot(axes_class=AxesZero)
+    ax.axis["xzero"].set_axisline_style("-|>", size=2.0, facecolor='r')
+    ax.axis["xzero"].set_visible(True)
+    ax.axis["yzero"].set_axisline_style("->, size=1.5")
+    ax.axis["yzero"].set_visible(True)
+
+    for direction in ("left", "right", "bottom", "top"):
+        ax.axis[direction].set_visible(False)
+
+
+@image_comparison(['axisline_style_tight.png'], remove_text=True,
+                  style='mpl20')
+def test_axisline_style_tight():
+    fig = plt.figure(figsize=(2, 2))
+    ax = fig.add_subplot(axes_class=AxesZero)
+    ax.axis["xzero"].set_axisline_style("-|>", size=5, facecolor='g')
+    ax.axis["xzero"].set_visible(True)
+    ax.axis["yzero"].set_axisline_style("->, size=8")
+    ax.axis["yzero"].set_visible(True)
+
+    for direction in ("left", "right", "bottom", "top"):
+        ax.axis[direction].set_visible(False)
+
+    fig.tight_layout()
+
+
+@image_comparison(['subplotzero_ylabel.png'], style='mpl20')
+def test_subplotzero_ylabel():
+    fig = plt.figure()
+    ax = fig.add_subplot(111, axes_class=SubplotZero)
+
+    ax.set(xlim=(-3, 7), ylim=(-3, 7), xlabel="x", ylabel="y")
+
+    zero_axis = ax.axis["xzero", "yzero"]
+    zero_axis.set_visible(True)  # they are hidden by default
+
+    ax.axis["left", "right", "bottom", "top"].set_visible(False)
+
+    zero_axis.set_axisline_style("->")

rl/Lib/site-packages/mpl_toolkits/axisartist/tests/test_floating_axes.py

@@ -0,0 +1,115 @@
+import numpy as np
+
+import matplotlib.pyplot as plt
+import matplotlib.projections as mprojections
+import matplotlib.transforms as mtransforms
+from matplotlib.testing.decorators import image_comparison
+from mpl_toolkits.axisartist.axislines import Subplot
+from mpl_toolkits.axisartist.floating_axes import (
+    FloatingAxes, GridHelperCurveLinear)
+from mpl_toolkits.axisartist.grid_finder import FixedLocator
+from mpl_toolkits.axisartist import angle_helper
+
+
+def test_subplot():
+    fig = plt.figure(figsize=(5, 5))
+    ax = Subplot(fig, 111)
+    fig.add_subplot(ax)
+
+
+# Rather high tolerance to allow ongoing work with floating axes internals;
+# remove when image is regenerated.
+@image_comparison(['curvelinear3.png'], style='default', tol=5)
+def test_curvelinear3():
+    fig = plt.figure(figsize=(5, 5))
+
+    tr = (mtransforms.Affine2D().scale(np.pi / 180, 1) +
+          mprojections.PolarAxes.PolarTransform(apply_theta_transforms=False))
+    grid_helper = GridHelperCurveLinear(
+        tr,
+        extremes=(0, 360, 10, 3),
+        grid_locator1=angle_helper.LocatorDMS(15),
+        grid_locator2=FixedLocator([2, 4, 6, 8, 10]),
+        tick_formatter1=angle_helper.FormatterDMS(),
+        tick_formatter2=None)
+    ax1 = fig.add_subplot(axes_class=FloatingAxes, grid_helper=grid_helper)
+
+    r_scale = 10
+    tr2 = mtransforms.Affine2D().scale(1, 1 / r_scale) + tr
+    grid_helper2 = GridHelperCurveLinear(
+        tr2,
+        extremes=(0, 360, 10 * r_scale, 3 * r_scale),
+        grid_locator2=FixedLocator([30, 60, 90]))
+
+    ax1.axis["right"] = axis = grid_helper2.new_fixed_axis("right", axes=ax1)
+
+    ax1.axis["left"].label.set_text("Test 1")
+    ax1.axis["right"].label.set_text("Test 2")
+    ax1.axis["left", "right"].set_visible(False)
+
+    axis = grid_helper.new_floating_axis(1, 7, axes=ax1,
+                                         axis_direction="bottom")
+    ax1.axis["z"] = axis
+    axis.toggle(all=True, label=True)
+    axis.label.set_text("z = ?")
+    axis.label.set_visible(True)
+    axis.line.set_color("0.5")
+
+    ax2 = ax1.get_aux_axes(tr)
+
+    xx, yy = [67, 90, 75, 30], [2, 5, 8, 4]
+    ax2.scatter(xx, yy)
+    l, = ax2.plot(xx, yy, "k-")
+    l.set_clip_path(ax1.patch)
+
+
+# Rather high tolerance to allow ongoing work with floating axes internals;
+# remove when image is regenerated.
+@image_comparison(['curvelinear4.png'], style='default', tol=0.9)
+def test_curvelinear4():
+    # Remove this line when this test image is regenerated.
+    plt.rcParams['text.kerning_factor'] = 6
+
+    fig = plt.figure(figsize=(5, 5))
+
+    tr = (mtransforms.Affine2D().scale(np.pi / 180, 1) +
+          mprojections.PolarAxes.PolarTransform(apply_theta_transforms=False))
+    grid_helper = GridHelperCurveLinear(
+        tr,
+        extremes=(120, 30, 10, 0),
+        grid_locator1=angle_helper.LocatorDMS(5),
+        grid_locator2=FixedLocator([2, 4, 6, 8, 10]),
+        tick_formatter1=angle_helper.FormatterDMS(),
+        tick_formatter2=None)
+    ax1 = fig.add_subplot(axes_class=FloatingAxes, grid_helper=grid_helper)
+    ax1.clear()  # Check that clear() also restores the correct limits on ax1.
+
+    ax1.axis["left"].label.set_text("Test 1")
+    ax1.axis["right"].label.set_text("Test 2")
+    ax1.axis["top"].set_visible(False)
+
+    axis = grid_helper.new_floating_axis(1, 70, axes=ax1,
+                                         axis_direction="bottom")
+    ax1.axis["z"] = axis
+    axis.toggle(all=True, label=True)
+    axis.label.set_axis_direction("top")
+    axis.label.set_text("z = ?")
+    axis.label.set_visible(True)
+    axis.line.set_color("0.5")
+
+    ax2 = ax1.get_aux_axes(tr)
+
+    xx, yy = [67, 90, 75, 30], [2, 5, 8, 4]
+    ax2.scatter(xx, yy)
+    l, = ax2.plot(xx, yy, "k-")
+    l.set_clip_path(ax1.patch)
+
+
+def test_axis_direction():
+    # Check that axis direction is propagated on a floating axis
+    fig = plt.figure()
+    ax = Subplot(fig, 111)
+    fig.add_subplot(ax)
+    ax.axis['y'] = ax.new_floating_axis(nth_coord=1, value=0,
+                                        axis_direction='left')
+    assert ax.axis['y']._axis_direction == 'left'

rl/Lib/site-packages/mpl_toolkits/axisartist/tests/test_grid_finder.py

@@ -0,0 +1,34 @@
+import numpy as np
+import pytest
+
+from matplotlib.transforms import Bbox
+from mpl_toolkits.axisartist.grid_finder import (
+    _find_line_box_crossings, FormatterPrettyPrint, MaxNLocator)
+
+
+def test_find_line_box_crossings():
+    x = np.array([-3, -2, -1, 0., 1, 2, 3, 2, 1, 0, -1, -2, -3, 5])
+    y = np.arange(len(x))
+    bbox = Bbox.from_extents(-2, 3, 2, 12.5)
+    left, right, bottom, top = _find_line_box_crossings(
+        np.column_stack([x, y]), bbox)
+    ((lx0, ly0), la0), ((lx1, ly1), la1), = left
+    ((rx0, ry0), ra0), ((rx1, ry1), ra1), = right
+    ((bx0, by0), ba0), = bottom
+    ((tx0, ty0), ta0), = top
+    assert (lx0, ly0, la0) == (-2, 11, 135)
+    assert (lx1, ly1, la1) == pytest.approx((-2., 12.125, 7.125016))
+    assert (rx0, ry0, ra0) == (2, 5, 45)
+    assert (rx1, ry1, ra1) == (2, 7, 135)
+    assert (bx0, by0, ba0) == (0, 3, 45)
+    assert (tx0, ty0, ta0) == pytest.approx((1., 12.5, 7.125016))
+
+
+def test_pretty_print_format():
+    locator = MaxNLocator()
+    locs, nloc, factor = locator(0, 100)
+
+    fmt = FormatterPrettyPrint()
+
+    assert fmt("left", None, locs) == \
+        [r'$\mathdefault{%d}$' % (l, ) for l in locs]

rl/Lib/site-packages/mpl_toolkits/axisartist/tests/test_grid_helper_curvelinear.py

@@ -0,0 +1,207 @@
+import numpy as np
+
+import matplotlib.pyplot as plt
+from matplotlib.path import Path
+from matplotlib.projections import PolarAxes
+from matplotlib.ticker import FuncFormatter
+from matplotlib.transforms import Affine2D, Transform
+from matplotlib.testing.decorators import image_comparison
+
+from mpl_toolkits.axisartist import SubplotHost
+from mpl_toolkits.axes_grid1.parasite_axes import host_axes_class_factory
+from mpl_toolkits.axisartist import angle_helper
+from mpl_toolkits.axisartist.axislines import Axes
+from mpl_toolkits.axisartist.grid_helper_curvelinear import \
+    GridHelperCurveLinear
+
+
+@image_comparison(['custom_transform.png'], style='default', tol=0.2)
+def test_custom_transform():
+    class MyTransform(Transform):
+        input_dims = output_dims = 2
+
+        def __init__(self, resolution):
+            """
+            Resolution is the number of steps to interpolate between each input
+            line segment to approximate its path in transformed space.
+            """
+            Transform.__init__(self)
+            self._resolution = resolution
+
+        def transform(self, ll):
+            x, y = ll.T
+            return np.column_stack([x, y - x])
+
+        transform_non_affine = transform
+
+        def transform_path(self, path):
+            ipath = path.interpolated(self._resolution)
+            return Path(self.transform(ipath.vertices), ipath.codes)
+
+        transform_path_non_affine = transform_path
+
+        def inverted(self):
+            return MyTransformInv(self._resolution)
+
+    class MyTransformInv(Transform):
+        input_dims = output_dims = 2
+
+        def __init__(self, resolution):
+            Transform.__init__(self)
+            self._resolution = resolution
+
+        def transform(self, ll):
+            x, y = ll.T
+            return np.column_stack([x, y + x])
+
+        def inverted(self):
+            return MyTransform(self._resolution)
+
+    fig = plt.figure()
+
+    SubplotHost = host_axes_class_factory(Axes)
+
+    tr = MyTransform(1)
+    grid_helper = GridHelperCurveLinear(tr)
+    ax1 = SubplotHost(fig, 1, 1, 1, grid_helper=grid_helper)
+    fig.add_subplot(ax1)
+
+    ax2 = ax1.get_aux_axes(tr, viewlim_mode="equal")
+    ax2.plot([3, 6], [5.0, 10.])
+
+    ax1.set_aspect(1.)
+    ax1.set_xlim(0, 10)
+    ax1.set_ylim(0, 10)
+
+    ax1.grid(True)
+
+
+@image_comparison(['polar_box.png'], style='default', tol=0.04)
+def test_polar_box():
+    fig = plt.figure(figsize=(5, 5))
+
+    # PolarAxes.PolarTransform takes radian. However, we want our coordinate
+    # system in degree
+    tr = (Affine2D().scale(np.pi / 180., 1.) +
+          PolarAxes.PolarTransform(apply_theta_transforms=False))
+
+    # polar projection, which involves cycle, and also has limits in
+    # its coordinates, needs a special method to find the extremes
+    # (min, max of the coordinate within the view).
+    extreme_finder = angle_helper.ExtremeFinderCycle(20, 20,
+                                                     lon_cycle=360,
+                                                     lat_cycle=None,
+                                                     lon_minmax=None,
+                                                     lat_minmax=(0, np.inf))
+
+    grid_helper = GridHelperCurveLinear(
+        tr,
+        extreme_finder=extreme_finder,
+        grid_locator1=angle_helper.LocatorDMS(12),
+        tick_formatter1=angle_helper.FormatterDMS(),
+        tick_formatter2=FuncFormatter(lambda x, p: "eight" if x == 8 else f"{int(x)}"),
+    )
+
+    ax1 = SubplotHost(fig, 1, 1, 1, grid_helper=grid_helper)
+
+    ax1.axis["right"].major_ticklabels.set_visible(True)
+    ax1.axis["top"].major_ticklabels.set_visible(True)
+
+    # let right axis shows ticklabels for 1st coordinate (angle)
+    ax1.axis["right"].get_helper().nth_coord_ticks = 0
+    # let bottom axis shows ticklabels for 2nd coordinate (radius)
+    ax1.axis["bottom"].get_helper().nth_coord_ticks = 1
+
+    fig.add_subplot(ax1)
+
+    ax1.axis["lat"] = axis = grid_helper.new_floating_axis(0, 45, axes=ax1)
+    axis.label.set_text("Test")
+    axis.label.set_visible(True)
+    axis.get_helper().set_extremes(2, 12)
+
+    ax1.axis["lon"] = axis = grid_helper.new_floating_axis(1, 6, axes=ax1)
+    axis.label.set_text("Test 2")
+    axis.get_helper().set_extremes(-180, 90)
+
+    # A parasite axes with given transform
+    ax2 = ax1.get_aux_axes(tr, viewlim_mode="equal")
+    assert ax2.transData == tr + ax1.transData
+    # Anything you draw in ax2 will match the ticks and grids of ax1.
+    ax2.plot(np.linspace(0, 30, 50), np.linspace(10, 10, 50))
+
+    ax1.set_aspect(1.)
+    ax1.set_xlim(-5, 12)
+    ax1.set_ylim(-5, 10)
+
+    ax1.grid(True)
+
+
+# Remove tol & kerning_factor when this test image is regenerated.
+@image_comparison(['axis_direction.png'], style='default', tol=0.13)
+def test_axis_direction():
+    plt.rcParams['text.kerning_factor'] = 6
+
+    fig = plt.figure(figsize=(5, 5))
+
+    # PolarAxes.PolarTransform takes radian. However, we want our coordinate
+    # system in degree
+    tr = (Affine2D().scale(np.pi / 180., 1.) +
+          PolarAxes.PolarTransform(apply_theta_transforms=False))
+
+    # polar projection, which involves cycle, and also has limits in
+    # its coordinates, needs a special method to find the extremes
+    # (min, max of the coordinate within the view).
+
+    # 20, 20 : number of sampling points along x, y direction
+    extreme_finder = angle_helper.ExtremeFinderCycle(20, 20,
+                                                     lon_cycle=360,
+                                                     lat_cycle=None,
+                                                     lon_minmax=None,
+                                                     lat_minmax=(0, np.inf),
+                                                     )
+
+    grid_locator1 = angle_helper.LocatorDMS(12)
+    tick_formatter1 = angle_helper.FormatterDMS()
+
+    grid_helper = GridHelperCurveLinear(tr,
+                                        extreme_finder=extreme_finder,
+                                        grid_locator1=grid_locator1,
+                                        tick_formatter1=tick_formatter1)
+
+    ax1 = SubplotHost(fig, 1, 1, 1, grid_helper=grid_helper)
+
+    for axis in ax1.axis.values():
+        axis.set_visible(False)
+
+    fig.add_subplot(ax1)
+
+    ax1.axis["lat1"] = axis = grid_helper.new_floating_axis(
+        0, 130,
+        axes=ax1, axis_direction="left")
+    axis.label.set_text("Test")
+    axis.label.set_visible(True)
+    axis.get_helper().set_extremes(0.001, 10)
+
+    ax1.axis["lat2"] = axis = grid_helper.new_floating_axis(
+        0, 50,
+        axes=ax1, axis_direction="right")
+    axis.label.set_text("Test")
+    axis.label.set_visible(True)
+    axis.get_helper().set_extremes(0.001, 10)
+
+    ax1.axis["lon"] = axis = grid_helper.new_floating_axis(
+        1, 10,
+        axes=ax1, axis_direction="bottom")
+    axis.label.set_text("Test 2")
+    axis.get_helper().set_extremes(50, 130)
+    axis.major_ticklabels.set_axis_direction("top")
+    axis.label.set_axis_direction("top")
+
+    grid_helper.grid_finder.grid_locator1.set_params(nbins=5)
+    grid_helper.grid_finder.grid_locator2.set_params(nbins=5)
+
+    ax1.set_aspect(1.)
+    ax1.set_xlim(-8, 8)
+    ax1.set_ylim(-4, 12)
+
+    ax1.grid(True)