480 lines
16 KiB
Python
480 lines
16 KiB
Python
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import copy
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import re
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import numpy as np
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from numpy.testing import assert_array_equal
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import pytest
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from matplotlib import patches
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from matplotlib.path import Path
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from matplotlib.patches import Polygon
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from matplotlib.testing.decorators import image_comparison
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import matplotlib.pyplot as plt
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from matplotlib import transforms
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from matplotlib.backend_bases import MouseEvent
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def test_empty_closed_path():
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path = Path(np.zeros((0, 2)), closed=True)
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assert path.vertices.shape == (0, 2)
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assert path.codes is None
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assert_array_equal(path.get_extents().extents,
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transforms.Bbox.null().extents)
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def test_readonly_path():
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path = Path.unit_circle()
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def modify_vertices():
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path.vertices = path.vertices * 2.0
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with pytest.raises(AttributeError):
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modify_vertices()
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def test_path_exceptions():
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bad_verts1 = np.arange(12).reshape(4, 3)
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with pytest.raises(ValueError,
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match=re.escape(f'has shape {bad_verts1.shape}')):
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Path(bad_verts1)
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bad_verts2 = np.arange(12).reshape(2, 3, 2)
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with pytest.raises(ValueError,
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match=re.escape(f'has shape {bad_verts2.shape}')):
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Path(bad_verts2)
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good_verts = np.arange(12).reshape(6, 2)
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bad_codes = np.arange(2)
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msg = re.escape(f"Your vertices have shape {good_verts.shape} "
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f"but your codes have shape {bad_codes.shape}")
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with pytest.raises(ValueError, match=msg):
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Path(good_verts, bad_codes)
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def test_point_in_path():
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# Test #1787
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verts2 = [(0, 0), (0, 1), (1, 1), (1, 0), (0, 0)]
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path = Path(verts2, closed=True)
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points = [(0.5, 0.5), (1.5, 0.5)]
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ret = path.contains_points(points)
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assert ret.dtype == 'bool'
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np.testing.assert_equal(ret, [True, False])
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def test_contains_points_negative_radius():
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path = Path.unit_circle()
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points = [(0.0, 0.0), (1.25, 0.0), (0.9, 0.9)]
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result = path.contains_points(points, radius=-0.5)
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np.testing.assert_equal(result, [True, False, False])
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_test_paths = [
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# interior extrema determine extents and degenerate derivative
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Path([[0, 0], [1, 0], [1, 1], [0, 1]],
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[Path.MOVETO, Path.CURVE4, Path.CURVE4, Path.CURVE4]),
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# a quadratic curve
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Path([[0, 0], [0, 1], [1, 0]], [Path.MOVETO, Path.CURVE3, Path.CURVE3]),
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# a linear curve, degenerate vertically
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Path([[0, 1], [1, 1]], [Path.MOVETO, Path.LINETO]),
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# a point
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Path([[1, 2]], [Path.MOVETO]),
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]
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_test_path_extents = [(0., 0., 0.75, 1.), (0., 0., 1., 0.5), (0., 1., 1., 1.),
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(1., 2., 1., 2.)]
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@pytest.mark.parametrize('path, extents', zip(_test_paths, _test_path_extents))
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def test_exact_extents(path, extents):
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# notice that if we just looked at the control points to get the bounding
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# box of each curve, we would get the wrong answers. For example, for
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# hard_curve = Path([[0, 0], [1, 0], [1, 1], [0, 1]],
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# [Path.MOVETO, Path.CURVE4, Path.CURVE4, Path.CURVE4])
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# we would get that the extents area (0, 0, 1, 1). This code takes into
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# account the curved part of the path, which does not typically extend all
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# the way out to the control points.
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# Note that counterintuitively, path.get_extents() returns a Bbox, so we
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# have to get that Bbox's `.extents`.
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assert np.all(path.get_extents().extents == extents)
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def test_point_in_path_nan():
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box = np.array([[0, 0], [1, 0], [1, 1], [0, 1], [0, 0]])
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p = Path(box)
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test = np.array([[np.nan, 0.5]])
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contains = p.contains_points(test)
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assert len(contains) == 1
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assert not contains[0]
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def test_nonlinear_containment():
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fig, ax = plt.subplots()
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ax.set(xscale="log", ylim=(0, 1))
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polygon = ax.axvspan(1, 10)
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assert polygon.get_path().contains_point(
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ax.transData.transform((5, .5)), ax.transData)
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assert not polygon.get_path().contains_point(
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ax.transData.transform((.5, .5)), ax.transData)
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assert not polygon.get_path().contains_point(
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ax.transData.transform((50, .5)), ax.transData)
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@image_comparison(['arrow_contains_point.png'],
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remove_text=True, style='mpl20')
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def test_arrow_contains_point():
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# fix bug (#8384)
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fig, ax = plt.subplots()
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ax.set_xlim((0, 2))
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ax.set_ylim((0, 2))
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# create an arrow with Curve style
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arrow = patches.FancyArrowPatch((0.5, 0.25), (1.5, 0.75),
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arrowstyle='->',
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mutation_scale=40)
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ax.add_patch(arrow)
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# create an arrow with Bracket style
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arrow1 = patches.FancyArrowPatch((0.5, 1), (1.5, 1.25),
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arrowstyle=']-[',
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mutation_scale=40)
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ax.add_patch(arrow1)
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# create an arrow with other arrow style
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arrow2 = patches.FancyArrowPatch((0.5, 1.5), (1.5, 1.75),
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arrowstyle='fancy',
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fill=False,
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mutation_scale=40)
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ax.add_patch(arrow2)
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patches_list = [arrow, arrow1, arrow2]
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# generate some points
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X, Y = np.meshgrid(np.arange(0, 2, 0.1),
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np.arange(0, 2, 0.1))
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for k, (x, y) in enumerate(zip(X.ravel(), Y.ravel())):
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xdisp, ydisp = ax.transData.transform([x, y])
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event = MouseEvent('button_press_event', fig.canvas, xdisp, ydisp)
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for m, patch in enumerate(patches_list):
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# set the points to red only if the arrow contains the point
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inside, res = patch.contains(event)
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if inside:
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ax.scatter(x, y, s=5, c="r")
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@image_comparison(['path_clipping.svg'], remove_text=True)
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def test_path_clipping():
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fig = plt.figure(figsize=(6.0, 6.2))
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for i, xy in enumerate([
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[(200, 200), (200, 350), (400, 350), (400, 200)],
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[(200, 200), (200, 350), (400, 350), (400, 100)],
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[(200, 100), (200, 350), (400, 350), (400, 100)],
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[(200, 100), (200, 415), (400, 350), (400, 100)],
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[(200, 100), (200, 415), (400, 415), (400, 100)],
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[(200, 415), (400, 415), (400, 100), (200, 100)],
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[(400, 415), (400, 100), (200, 100), (200, 415)]]):
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ax = fig.add_subplot(4, 2, i+1)
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bbox = [0, 140, 640, 260]
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ax.set_xlim(bbox[0], bbox[0] + bbox[2])
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ax.set_ylim(bbox[1], bbox[1] + bbox[3])
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ax.add_patch(Polygon(
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xy, facecolor='none', edgecolor='red', closed=True))
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@image_comparison(['semi_log_with_zero.png'], style='mpl20')
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def test_log_transform_with_zero():
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x = np.arange(-10, 10)
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y = (1.0 - 1.0/(x**2+1))**20
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fig, ax = plt.subplots()
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ax.semilogy(x, y, "-o", lw=15, markeredgecolor='k')
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ax.set_ylim(1e-7, 1)
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ax.grid(True)
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def test_make_compound_path_empty():
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# We should be able to make a compound path with no arguments.
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# This makes it easier to write generic path based code.
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r = Path.make_compound_path()
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assert r.vertices.shape == (0, 2)
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def test_make_compound_path_stops():
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zero = [0, 0]
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paths = 3*[Path([zero, zero], [Path.MOVETO, Path.STOP])]
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compound_path = Path.make_compound_path(*paths)
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# the choice to not preserve the terminal STOP is arbitrary, but
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# documented, so we test that it is in fact respected here
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assert np.sum(compound_path.codes == Path.STOP) == 0
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@image_comparison(['xkcd.png'], remove_text=True)
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def test_xkcd():
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np.random.seed(0)
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x = np.linspace(0, 2 * np.pi, 100)
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y = np.sin(x)
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with plt.xkcd():
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fig, ax = plt.subplots()
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ax.plot(x, y)
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@image_comparison(['xkcd_marker.png'], remove_text=True)
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def test_xkcd_marker():
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np.random.seed(0)
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x = np.linspace(0, 5, 8)
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y1 = x
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y2 = 5 - x
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y3 = 2.5 * np.ones(8)
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with plt.xkcd():
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fig, ax = plt.subplots()
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ax.plot(x, y1, '+', ms=10)
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ax.plot(x, y2, 'o', ms=10)
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ax.plot(x, y3, '^', ms=10)
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@image_comparison(['marker_paths.pdf'], remove_text=True)
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def test_marker_paths_pdf():
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N = 7
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plt.errorbar(np.arange(N),
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np.ones(N) + 4,
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np.ones(N))
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plt.xlim(-1, N)
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plt.ylim(-1, 7)
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@image_comparison(['nan_path'], style='default', remove_text=True,
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extensions=['pdf', 'svg', 'eps', 'png'])
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def test_nan_isolated_points():
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y0 = [0, np.nan, 2, np.nan, 4, 5, 6]
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y1 = [np.nan, 7, np.nan, 9, 10, np.nan, 12]
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fig, ax = plt.subplots()
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ax.plot(y0, '-o')
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ax.plot(y1, '-o')
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def test_path_no_doubled_point_in_to_polygon():
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hand = np.array(
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[[1.64516129, 1.16145833],
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[1.64516129, 1.59375],
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[1.35080645, 1.921875],
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[1.375, 2.18229167],
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[1.68548387, 1.9375],
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[1.60887097, 2.55208333],
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[1.68548387, 2.69791667],
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[1.76209677, 2.56770833],
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[1.83064516, 1.97395833],
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[1.89516129, 2.75],
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[1.9516129, 2.84895833],
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[2.01209677, 2.76041667],
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[1.99193548, 1.99479167],
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[2.11290323, 2.63020833],
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[2.2016129, 2.734375],
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[2.25403226, 2.60416667],
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[2.14919355, 1.953125],
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[2.30645161, 2.36979167],
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[2.39112903, 2.36979167],
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[2.41532258, 2.1875],
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[2.1733871, 1.703125],
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[2.07782258, 1.16666667]])
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(r0, c0, r1, c1) = (1.0, 1.5, 2.1, 2.5)
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poly = Path(np.vstack((hand[:, 1], hand[:, 0])).T, closed=True)
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clip_rect = transforms.Bbox([[r0, c0], [r1, c1]])
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poly_clipped = poly.clip_to_bbox(clip_rect).to_polygons()[0]
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assert np.all(poly_clipped[-2] != poly_clipped[-1])
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assert np.all(poly_clipped[-1] == poly_clipped[0])
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def test_path_to_polygons():
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data = [[10, 10], [20, 20]]
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p = Path(data)
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assert_array_equal(p.to_polygons(width=40, height=40), [])
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assert_array_equal(p.to_polygons(width=40, height=40, closed_only=False),
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[data])
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assert_array_equal(p.to_polygons(), [])
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assert_array_equal(p.to_polygons(closed_only=False), [data])
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data = [[10, 10], [20, 20], [30, 30]]
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closed_data = [[10, 10], [20, 20], [30, 30], [10, 10]]
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p = Path(data)
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assert_array_equal(p.to_polygons(width=40, height=40), [closed_data])
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assert_array_equal(p.to_polygons(width=40, height=40, closed_only=False),
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[data])
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assert_array_equal(p.to_polygons(), [closed_data])
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assert_array_equal(p.to_polygons(closed_only=False), [data])
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def test_path_deepcopy():
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# Should not raise any error
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verts = [[0, 0], [1, 1]]
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codes = [Path.MOVETO, Path.LINETO]
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path1 = Path(verts)
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path2 = Path(verts, codes)
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copy.deepcopy(path1)
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copy.deepcopy(path2)
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@pytest.mark.parametrize('phi', np.concatenate([
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np.array([0, 15, 30, 45, 60, 75, 90, 105, 120, 135]) + delta
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for delta in [-1, 0, 1]]))
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def test_path_intersect_path(phi):
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# test for the range of intersection angles
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eps_array = [1e-5, 1e-8, 1e-10, 1e-12]
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transform = transforms.Affine2D().rotate(np.deg2rad(phi))
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|
|
# a and b intersect at angle phi
|
||
|
|
a = Path([(-2, 0), (2, 0)])
|
||
|
|
b = transform.transform_path(a)
|
||
|
|
assert a.intersects_path(b) and b.intersects_path(a)
|
||
|
|
|
||
|
|
# a and b touch at angle phi at (0, 0)
|
||
|
|
a = Path([(0, 0), (2, 0)])
|
||
|
|
b = transform.transform_path(a)
|
||
|
|
assert a.intersects_path(b) and b.intersects_path(a)
|
||
|
|
|
||
|
|
# a and b are orthogonal and intersect at (0, 3)
|
||
|
|
a = transform.transform_path(Path([(0, 1), (0, 3)]))
|
||
|
|
b = transform.transform_path(Path([(1, 3), (0, 3)]))
|
||
|
|
assert a.intersects_path(b) and b.intersects_path(a)
|
||
|
|
|
||
|
|
# a and b are collinear and intersect at (0, 3)
|
||
|
|
a = transform.transform_path(Path([(0, 1), (0, 3)]))
|
||
|
|
b = transform.transform_path(Path([(0, 5), (0, 3)]))
|
||
|
|
assert a.intersects_path(b) and b.intersects_path(a)
|
||
|
|
|
||
|
|
# self-intersect
|
||
|
|
assert a.intersects_path(a)
|
||
|
|
|
||
|
|
# a contains b
|
||
|
|
a = transform.transform_path(Path([(0, 0), (5, 5)]))
|
||
|
|
b = transform.transform_path(Path([(1, 1), (3, 3)]))
|
||
|
|
assert a.intersects_path(b) and b.intersects_path(a)
|
||
|
|
|
||
|
|
# a and b are collinear but do not intersect
|
||
|
|
a = transform.transform_path(Path([(0, 1), (0, 5)]))
|
||
|
|
b = transform.transform_path(Path([(3, 0), (3, 3)]))
|
||
|
|
assert not a.intersects_path(b) and not b.intersects_path(a)
|
||
|
|
|
||
|
|
# a and b are on the same line but do not intersect
|
||
|
|
a = transform.transform_path(Path([(0, 1), (0, 5)]))
|
||
|
|
b = transform.transform_path(Path([(0, 6), (0, 7)]))
|
||
|
|
assert not a.intersects_path(b) and not b.intersects_path(a)
|
||
|
|
|
||
|
|
# Note: 1e-13 is the absolute tolerance error used for
|
||
|
|
# `isclose` function from src/_path.h
|
||
|
|
|
||
|
|
# a and b are parallel but do not touch
|
||
|
|
for eps in eps_array:
|
||
|
|
a = transform.transform_path(Path([(0, 1), (0, 5)]))
|
||
|
|
b = transform.transform_path(Path([(0 + eps, 1), (0 + eps, 5)]))
|
||
|
|
assert not a.intersects_path(b) and not b.intersects_path(a)
|
||
|
|
|
||
|
|
# a and b are on the same line but do not intersect (really close)
|
||
|
|
for eps in eps_array:
|
||
|
|
a = transform.transform_path(Path([(0, 1), (0, 5)]))
|
||
|
|
b = transform.transform_path(Path([(0, 5 + eps), (0, 7)]))
|
||
|
|
assert not a.intersects_path(b) and not b.intersects_path(a)
|
||
|
|
|
||
|
|
# a and b are on the same line and intersect (really close)
|
||
|
|
for eps in eps_array:
|
||
|
|
a = transform.transform_path(Path([(0, 1), (0, 5)]))
|
||
|
|
b = transform.transform_path(Path([(0, 5 - eps), (0, 7)]))
|
||
|
|
assert a.intersects_path(b) and b.intersects_path(a)
|
||
|
|
|
||
|
|
# b is the same as a but with an extra point
|
||
|
|
a = transform.transform_path(Path([(0, 1), (0, 5)]))
|
||
|
|
b = transform.transform_path(Path([(0, 1), (0, 2), (0, 5)]))
|
||
|
|
assert a.intersects_path(b) and b.intersects_path(a)
|
||
|
|
|
||
|
|
|
||
|
|
@pytest.mark.parametrize('offset', range(-720, 361, 45))
|
||
|
|
def test_full_arc(offset):
|
||
|
|
low = offset
|
||
|
|
high = 360 + offset
|
||
|
|
|
||
|
|
path = Path.arc(low, high)
|
||
|
|
mins = np.min(path.vertices, axis=0)
|
||
|
|
maxs = np.max(path.vertices, axis=0)
|
||
|
|
np.testing.assert_allclose(mins, -1)
|
||
|
|
np.testing.assert_allclose(maxs, 1)
|
||
|
|
|
||
|
|
|
||
|
|
def test_disjoint_zero_length_segment():
|
||
|
|
this_path = Path(
|
||
|
|
np.array([
|
||
|
|
[824.85064295, 2056.26489203],
|
||
|
|
[861.69033931, 2041.00539016],
|
||
|
|
[868.57864109, 2057.63522175],
|
||
|
|
[831.73894473, 2072.89472361],
|
||
|
|
[824.85064295, 2056.26489203]]),
|
||
|
|
np.array([1, 2, 2, 2, 79], dtype=Path.code_type))
|
||
|
|
|
||
|
|
outline_path = Path(
|
||
|
|
np.array([
|
||
|
|
[859.91051028, 2165.38461538],
|
||
|
|
[859.06772495, 2149.30331334],
|
||
|
|
[859.06772495, 2181.46591743],
|
||
|
|
[859.91051028, 2165.38461538],
|
||
|
|
[859.91051028, 2165.38461538]]),
|
||
|
|
np.array([1, 2, 2, 2, 2],
|
||
|
|
dtype=Path.code_type))
|
||
|
|
|
||
|
|
assert not outline_path.intersects_path(this_path)
|
||
|
|
assert not this_path.intersects_path(outline_path)
|
||
|
|
|
||
|
|
|
||
|
|
def test_intersect_zero_length_segment():
|
||
|
|
this_path = Path(
|
||
|
|
np.array([
|
||
|
|
[0, 0],
|
||
|
|
[1, 1],
|
||
|
|
]))
|
||
|
|
|
||
|
|
outline_path = Path(
|
||
|
|
np.array([
|
||
|
|
[1, 0],
|
||
|
|
[.5, .5],
|
||
|
|
[.5, .5],
|
||
|
|
[0, 1],
|
||
|
|
]))
|
||
|
|
|
||
|
|
assert outline_path.intersects_path(this_path)
|
||
|
|
assert this_path.intersects_path(outline_path)
|
||
|
|
|
||
|
|
|
||
|
|
def test_cleanup_closepoly():
|
||
|
|
# if the first connected component of a Path ends in a CLOSEPOLY, but that
|
||
|
|
# component contains a NaN, then Path.cleaned should ignore not just the
|
||
|
|
# control points but also the CLOSEPOLY, since it has nowhere valid to
|
||
|
|
# point.
|
||
|
|
paths = [
|
||
|
|
Path([[np.nan, np.nan], [np.nan, np.nan]],
|
||
|
|
[Path.MOVETO, Path.CLOSEPOLY]),
|
||
|
|
# we trigger a different path in the C++ code if we don't pass any
|
||
|
|
# codes explicitly, so we must also make sure that this works
|
||
|
|
Path([[np.nan, np.nan], [np.nan, np.nan]]),
|
||
|
|
# we should also make sure that this cleanup works if there's some
|
||
|
|
# multi-vertex curves
|
||
|
|
Path([[np.nan, np.nan], [np.nan, np.nan], [np.nan, np.nan],
|
||
|
|
[np.nan, np.nan]],
|
||
|
|
[Path.MOVETO, Path.CURVE3, Path.CURVE3, Path.CLOSEPOLY])
|
||
|
|
]
|
||
|
|
for p in paths:
|
||
|
|
cleaned = p.cleaned(remove_nans=True)
|
||
|
|
assert len(cleaned) == 1
|
||
|
|
assert cleaned.codes[0] == Path.STOP
|